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Fractals

Complex Geometry, Patterns, and Scaling in Nature and Society

Short Title: Fractals
Publisher: World Scientific, Singapore
ISSN: 0218-348X; 1793-6543/e
Online: https://www.worldscientific.com/loi/fractals
Comments: Journal; No longer indexed
Documents Indexed: 1,689 Publications (1993–2023)
References Indexed: 1,400 Publications with 41,605 References.
all top 5

Latest Issues

31, No. 5 (2023)
31, No. 4 (2023)
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11, No. 4 (2003)
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...and 42 more Volumes
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Authors

36 Abdeljawad, Thabet
34 Xi, Lifeng
26 Băleanu, Dumitru I.
25 Shah, Kamal
25 Wang, Kangle
21 Karaca, Yeliz
20 Chu, Yuming
20 Yu, Boming
19 Sooppy Nisar, Kottakkaran
19 Wang, Kang-Jia
17 Khan, Ilyas
17 Xiao, Boqi
14 Chand, Arya Kumar Bedabrata
14 Gómez-Aguilar, José Francisco
13 Dai, Meifeng
13 Rashid, Saima
13 Wang, Xingyuan
12 Khan, Aziz Ullah
12 Long, Gongbo
12 Su, Weiyi
11 Jafari, Hossein
11 Liang, Yongshun
11 Taqqu, Murad S.
11 Wang, Qin
11 Wu, Min
10 Akgül, Ali
10 Havlin, Shlomo
10 Navascués, María Antonia
10 Sabir, Zulqurnain
10 Wang, Guodong
10 Yao, Kui
9 Boulaaras, Salah Mahmoud
9 Elías-Zúñiga, Alex
9 Giona, Massimiliano
9 Jarad, Fahd
9 Raja, Muhammad Asif Zahoor
9 Riaz, Muhammad Bilal
9 Saeed, Tareq
9 Stanley, H. Eugene
9 ur Rahman, Mati
9 Xue, Yumei
9 Yao, Shaowen
9 Zeb, Anwar
8 Abdel-Aty, Abdel-Haleem
8 Amin, Rohul
8 Arfan, Muhammad
8 Atangana, Abdon
8 Bory Reyes, Juan
8 Du, Tingsong
8 He, Chun-Hui
8 Inc, Mustafa
8 Martínez-Romero, Oscar
8 Momani, Shaher M.
8 Olvera Trejo, Daniel
8 Palacios-Pineda, Luis Manuel
8 Shi, Feng
8 Strichartz, Robert S.
8 Takayasu, Hideki
8 Veneziano, Daniele
7 Ahmad, Hijaz
7 Alqudah, Manar A.
7 Alrabaiah, Hussam
7 Frame, Michael Lee
7 Huang, Chengdai
7 Jahanshahi, Hadi
7 Khalid, Aasma
7 Kumar, Sunil
7 Li, Wenxia
6 Agarwal, Praveen
6 Ahmad, Shabir
6 Brown, Christopher A.
6 Fan, Jiaqi
6 Hammouch, Zakia
6 Herrmann, Hans Jürgen
6 Jia, Qi
6 Jiang, Kan
6 Khan, Hasib
6 Khater, Mostafa M. A.
6 Kumam, Poom
6 Lei, Lei
6 Liu, Jiangen
6 Ma, Ying
6 Rochon, Dominic
6 Salahshour, Soheil
6 Shah, Zahir
6 Wang, Bo
6 Wang, Xiaoqian
6 Yang, Jiaojiao
6 Ye, Qianqian
6 Yusuf, Abdullahi A.
6 Zeng, Cheng
5 Abdalla, Mohamed
5 Ahmadian, Ali
5 Alassafi, Madini Obad
5 Alshomrani, Ali Saleh
5 Alzaid, Sara Salem
5 Buldyrev, Sergey V.
5 Cao, Jinde
5 Chauhan, Ram P.
5 Chen, Aimin
...and 2,750 more Authors
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Fields

743 Measure and integration (28-XX)
266 Real functions (26-XX)
203 Ordinary differential equations (34-XX)
200 Dynamical systems and ergodic theory (37-XX)
191 Partial differential equations (35-XX)
182 Biology and other natural sciences (92-XX)
173 Numerical analysis (65-XX)
130 Probability theory and stochastic processes (60-XX)
129 Fluid mechanics (76-XX)
99 Computer science (68-XX)
95 Statistical mechanics, structure of matter (82-XX)
72 Combinatorics (05-XX)
64 Information and communication theory, circuits (94-XX)
60 Statistics (62-XX)
56 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
52 Mechanics of deformable solids (74-XX)
49 Geophysics (86-XX)
47 Operator theory (47-XX)
42 Number theory (11-XX)
40 Systems theory; control (93-XX)
34 Harmonic analysis on Euclidean spaces (42-XX)
33 Approximations and expansions (41-XX)
31 General and overarching topics; collections (00-XX)
30 Operations research, mathematical programming (90-XX)
27 Classical thermodynamics, heat transfer (80-XX)
26 Optics, electromagnetic theory (78-XX)
22 Difference and functional equations (39-XX)
21 Integral equations (45-XX)
18 Mechanics of particles and systems (70-XX)
15 Functions of a complex variable (30-XX)
15 Special functions (33-XX)
14 Integral transforms, operational calculus (44-XX)
13 Quantum theory (81-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
9 Convex and discrete geometry (52-XX)
9 General topology (54-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Functional analysis (46-XX)
5 Astronomy and astrophysics (85-XX)
3 Mathematical logic and foundations (03-XX)
3 Nonassociative rings and algebras (17-XX)
3 Potential theory (31-XX)
3 Sequences, series, summability (40-XX)
3 Geometry (51-XX)
3 Differential geometry (53-XX)
3 Relativity and gravitational theory (83-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)

Publications by Year

Citations contained in zbMATH Open

988 Publications have been cited 5,570 times in 3,352 Documents Cited by Year
Estimators for long-range dependence: An empirical study. Zbl 0864.62061
Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter
99
1995
The relationship between fractional calculus and fractals. Zbl 0877.28009
Tatom, Frank B.
98
1995
Distributed order fractional sub-diffusion. Zbl 1083.60066
Naber, Mark
81
2004
Bivariate fractal interpolation functions on grids. Zbl 1088.28502
Dalla, Leoni
54
2002
Calculus on fractal subsets of real line. I: Formulation. Zbl 1173.28005
Parvate, Abhay; Gangal, A. D.
49
2009
The study of bivariate fractal interpolation functions and creation of fractal interpolated surfaces. Zbl 0908.65005
Xie, Heping; Sun, Hongquan
48
1997
Average geodesic distance of Sierpinski gasket and Sierpinski networks. Zbl 1375.28020
Wang, Songjing; Yu, Zhouyu; Xi, Lifeng
46
2017
Hidden variable bivariate fractal interpolation surfaces. Zbl 1046.28004
Chand, A. K. B.; Kapoor, G. P.
44
2003
First-order network coherence and eigentime identity on the weighted Cayley networks. Zbl 1421.05083
Dai, Meifeng; Wang, Xiaoqian; Zong, Yue; Zou, Jiahui; Chen, Yufei; Su, Weiyi
41
2017
On the Riemann-Liouville fractional calculus and some recent applications. Zbl 0868.26004
Nonnenmacher, Theo F.; Metzler, Ralf
38
1995
On Hadamard fractional calculus. Zbl 1371.26009
Ma, Li; Li, Changpin
37
2017
Certain integral inequalities considering generalized \(m\)-convexity on fractal sets and their applications. Zbl 1434.28018
Du, Tingsong; Wang, Hao; Khan, Muhammad Adil; Zhang, Yao
37
2019
A generalized Mandelbrot set for bicomplex numbers. Zbl 0969.37021
Rochon, Dominic
35
2000
Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005
Stoev, Stilian; Taqqu, Murad S.
35
2004
Cooperative strategies in formation of complex bacterial patterns. Zbl 0869.92002
Ben-Jacob, Eshel; Shochet, Ofer; Cohen, Inon; Tenenbaum, Adam; Czirók, Andras; Vicsek, Tamas
35
1995
On fractional relaxation. Zbl 1140.82315
Hilfer, R.
34
2003
Fractal bases of \(L_p\) spaces. Zbl 1251.28009
Navascués, M. A.
34
2012
Dimensions of self-affine fractals and multifractals generated by upper-triangular matrices. Zbl 1137.28302
Falconer, Kenneth; Miao, Jun
31
2007
On the weighted fractional operators of a function with respect to another function. Zbl 1489.26006
Jarad, F.; Abdeljawad, T.; Shah, K.
31
2020
Hidden variable vector valued fractal interpolation functions. Zbl 1100.41011
Bouboulis, P.; Dalla, L.
30
2005
A fractal valued random iteration algorithm and fractal hierarchy. Zbl 1304.28004
Barnsley, Michael; Hutchinson, John; Stenflo, Örjan
30
2005
Multifractal cascade dynamics and turbulent intermittency. Zbl 0927.76044
Schertzer, D.; Lovejoy, S.; Schmitt, F.; Chigirinskaya, Y.; Marsan, D.
29
1997
Topological structure of self-similar sets. Zbl 1075.28005
Luo, Jun; Rao, Hui; Tan, Bo
29
2002
Some further extensions considering discrete proportional fractional operators. Zbl 1495.26021
Rashid, Saima; Sultana, Sobia; Karaca, Yeliz; Khalid, Aasma; Chu, Yu-Ming
29
2022
Analysis of fractional differential equations with multi-orders. Zbl 1176.34008
Deng, Weihua; Li, Changpin; Guo, Qian
28
2007
Average geodesic distance of Sierpinski carpet. Zbl 1432.28015
Zhao, Luming; Wang, Songjing; Xi, Lifeng
27
2017
Calculus on fractal subsets of real line. II: Conjugacy with ordinary calculus. Zbl 1252.28005
Parvate, Abhay; Gangal, A. D.
26
2011
The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach. Zbl 07468592
Momani, Shaher; Maayah, Banan; Arqub, Omar Abu
26
2020
On the dimension of self-similar sets. Zbl 1088.28504
Simon, Károly; Solomyak, Boris
25
2002
Box dimensions of {\(\alpha\)}-fractal functions. Zbl 1354.28002
Akhtar, Md. Nasim; Prasad, M. Guru Prem; Navascués, M. A.
25
2016
Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard’s equation. Zbl 07468589
Momani, Shaher; Arqub, Omar Abu; Maayah, Banan
25
2020
Calculus on fractal curves in \(\mathbb{R}^{n}\). Zbl 1217.28014
Parvate, Abhay; Satin, Seema; Gangal, A. D.
24
2011
Vibration spectra of finitely ramifield, symmetric fractals. Zbl 1160.28302
Bajorin, N.; Chen, T.; Dagan, A.; Emmons, C.; Hussein, M.; Khalil, M.; Mody, P.; Steinhurst, B.; Teplyaev, A.
24
2008
Numerical solution of traveling waves in chemical kinetics: time-fractional fishers equations. Zbl 07507535
Wang, Fuzhang; Khan, Muhammad Nawaz; Ahmad, Imtiaz; Ahmad, Hijaz; Abu-Zinadah, Hanaa; Chu, Yu-Ming
24
2022
Exact solutions for a class of fractal time random walks. Zbl 0881.60066
Hilfer, R.
23
1995
Analysis of fractal-fractional malaria transmission model. Zbl 1482.92097
Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib
23
2020
Newton’s-type integral inequalities via local fractional integrals. Zbl 1434.26052
Iftikhar, Sabah; Kumam, Poom; Erden, Samet
22
2020
Foundations of fractional dynamics. Zbl 0870.58041
Hilfer, R.
21
1995
Dimension analysis of continuous functions with unbounded variation. Zbl 1371.28012
Wang, Jun; Yao, Kui
21
2017
The multifractal dimension functions of homogeneous Moran measure. Zbl 1165.28005
Xiao, Jiaqing; Wu, Min
20
2008
Modifications at large distances from fractional and fractal arguments. Zbl 1196.28014
El-Nabulsi, Rami Ahmad
20
2010
Analysis of \(\mathbb{C}\)-plane fractal images from \(z \leftarrow z^{\alpha} + c\) for \((\alpha < 0)\). Zbl 1211.37059
Wang, Xingyuan; Liu, Xiangdong; Zhu, Weiyong; Gu, Shusheng
19
2000
Normal families of bicomplex holomorphic functions. Zbl 1230.30032
Charak, K. S.; Rochon, D.; Sharma, N.
19
2009
Nonextensive thermostatics and fractals. Zbl 0870.58098
Tsallis, Constantino
19
1995
Path properties of the linear multifractional stable motion. Zbl 1304.28010
Stoev, Stilian; Taqqu, Murad S.
19
2005
Average distance of self-similar fractal trees. Zbl 1432.28007
Li, Tingting; Jiang, Kan; Xi, Lifeng
19
2018
\(1/f\) noise in a traffic model. Zbl 0906.90072
Takayasu, Misako; Takayasu, Hideki
18
1993
Fractal image compression. Zbl 0903.68211
Fisher, Yuval
18
1994
Spectral analysis for weighted iterated triangulations of graphs. Zbl 1432.35058
Chen, Yufei; Dai, Meifeng; Wang, Xiaoqian; Sun, Yu; Su, Weiyi
18
2018
The Hosoya index of graphs formed by a fractal graph. Zbl 1434.05039
Liu, Jia-bao; Zhao, Jing; Min, Jie; Cao, Jinde
18
2019
Variational principle and approximate solution for the generalized Burgers-Huxley equation with fractal derivative. Zbl 1482.35008
Wang, Kang-Jia
18
2021
Two-scale fractal theory for the population dynamics. Zbl 1481.92098
Anjum, Naveed; He, Chun-Hui; He, Ji-Huan
18
2021
Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073
Moulines, E.; Roueff, F.; Taqqu, Murad S.
17
2007
Fractal geometry of financial time series. Zbl 0869.62073
Evertsz, Carl J. G.
17
1995
A type of fractal interpolation functions and their fractional calculus. Zbl 1351.28016
Liang, Yong-Shun; Zhang, Qi
17
2016
A technique in the topology of connected self-similar tiles. Zbl 1304.28009
Ngai, Sze-Man; Tang, Tai-Man
17
2004
A new perspective to study the third-order modified KdV equation on fractal set. Zbl 1445.28012
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Cui, Ping
17
2020
Numerical solution of distributed order integro-differential equations. Zbl 1505.65324
Zhang, Anqi; Ganji, Roghayeh Moallem; Jafari, Hossein; Ncube, Mahluli Naisbitt; Agamalieva, Latifa
17
2022
A new nonlinear fractal interpolation function. Zbl 1432.41001
Ri, Songil
17
2017
Eccentric distance sum of Sierpiński gasket and Sierpiński network. Zbl 1433.28009
Chen, Jin; He, Long; Wang, Qin
17
2019
A remark on Wang’s fractal variational principle. Zbl 1434.35267
Wang, Kang-Le; He, Chun-Hui
17
2019
Fractal oscillation and its frequency-amplitude property. Zbl 1489.34014
He, Ji-Huan; Kou, Shuai-Jia; He, Chun-Hui; Zhang, Zuo-Wei; Gepreel, Khaled A.
17
2021
Explicit construction of operator scaling Gaussian random fields. Zbl 1233.60027
Clausel, M.; Vedel, B.
16
2011
On a generalized Fatou-Julia theorem in multicomplex spaces. Zbl 1177.30068
Garant-Pelletier, V.; Rochon, D.
16
2009
Some local fractional integral inequalities for generalized preinvex functions and applications to numerical quadrature. Zbl 1434.26015
Sun, Wenbing
16
2019
Fractal modeling of speech signals. Zbl 1126.94308
Lévy Véhel, Jacques; Daoudi, Khalid; Lutton, Evelyne
15
1994
Analysis on fractals in fuzzy metric spaces. Zbl 1231.26030
Easwaramoorthy, D.; Uthayakumar, R.
15
2011
An analysis of U.S. stock price behavior using wavelets. Zbl 0877.90027
Ramsey, James B.; Usikov, Daniel; Zaslavsky, George M.
15
1995
Estimation and simulation of fractal stochastic point processes. Zbl 0881.60044
Lowen, Steven B.; Teich, Malvin C.
15
1995
Construction and analysis of a special one-dimensional continuous function. Zbl 1371.28011
Wang, J.; Yao, Kui
15
2017
Cantor-type sets in hyperbolic numbers. Zbl 1357.28008
Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M.
15
2016
Asymptotic formula of eccentric distance sum for Vicsek network. Zbl 1433.28036
Ye, Qianqian; He, Long; Wang, Qin; Xi, Lifeng
15
2018
Progress on estimation of fractal dimensions of fractional calculus of continuous functions. Zbl 1434.26010
Liang, Yong-Shun
15
2019
A fractal model for water flow through unsaturated porous rocks. Zbl 1434.74085
Xiao, Boqi; Zhang, Xian; Wang, Wei; Long, Gongbo; Chen, Hanxin; Kang, Hao; Ren, Wen
15
2018
Lipschitz equivalence of McMullen sets. Zbl 1290.28012
Li, Boming; Li, Wenxia; Miao, Jun Jie
15
2013
A fractal-Monte Carlo approach to model oil and water two-phase seepage in low-permeability reservoirs with rough surfaces. Zbl 1500.76088
Su, Haibo; Zhang, Yidan; Xiao, Boqi; Huang, Xiaoming; Yu, Boming
15
2021
A fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media. Zbl 1500.76091
Xiao, Boqi; Huang, Qiwen; Chen, Hanxin; Chen, Xubing; Long, Gongbo
15
2021
Analysis of mixed Weyl-Marchaud fractional derivative and box dimensions. Zbl 1491.28003
Chandra, Subhash; Abbas, Syed
15
2021
Existence results and stability criteria for ABC-fuzzy-Volterra integro-differential equation. Zbl 1482.45005
Khan, Hasib; Gomez-Aguilar, J. F.; Abdeljawad, Thabet; Khan, Aziz
15
2020
Analysis, synthesis, and estimation of fractal-rate stochastic point processes. Zbl 0907.62093
Thurner, Stefan; Lowen, Steven B.; Feurstein, Markus C.; Heneghan, Conor; Feichtinger, Hans G.; Teich, Malvin C.
14
1997
On stability of fractal interpolation. Zbl 0974.28003
Feng, Zhigang; Xie, Heping
14
1998
On a generalized Fatou-Julia theorem. Zbl 1041.37023
Rochon, Dominic
14
2003
Fractal trigonometric polynomials for restricted range approximation. Zbl 1351.28009
Chand, A. K. B.; Navascués, M. A.; Viswanathan, P.; Katiyar, S. K.
14
2016
Fractal interpolation functions on post critically finite self-similar sets. Zbl 1196.28019
Ruan, Huo-Jun
14
2010
The average weighted path length for a class of hierarchical networks. Zbl 1441.05208
Niu, Min; Li, Ruixia
14
2020
Natural cubic spline coalescence hidden variable fractal interpolation surfaces. Zbl 1250.28004
Chand, A. K. B.
14
2012
On analysis of fractional order mathematical model of hepatitis B using Atangana-Baleanu Caputo (ABC) derivative. Zbl 1486.92219
Din, Anwarud; Li, Yongjin; Khan, Faiz Muhammad; Khan, Zia Ullah; Liu, Peijiang
14
2022
The calculus of bivariate fractal interpolation surfaces. Zbl 1486.28006
Chandra, Subhash; Abbas, Syed
14
2021
A fractal model for predicting oxygen effective diffusivity of porous media with rough surfaces under dry and wet conditions. Zbl 1500.76079
Xiao, Boqi; Huang, Qiwen; Yu, Boming; Long, Gongbo; Chen, Hanxin
14
2021
Symmetry analysis, analytical solutions and conservation laws of a generalized KdV-Burgers-Kuramoto equation and its fractional version. Zbl 1482.35027
Wang, Gangwei
14
2021
An user intention mining model based on fractal time series pattern. Zbl 1508.68316
Wu, Shaofei
14
2020
Approximate endpoint solutions for a class of fractional \(q\)-differential inclusions by computational results. Zbl 07468611
Aydogan, S. M.; Aguilar, J. F. Gómez; Baleanu, D.; Rezapour, Sh.; Samei, M. E.
14
2020
Image compression using affine fractal interpolation on rectangular lattices. Zbl 1158.68051
Drakopoulos, V.; Bouboulis, P.; Theodoridis, S.
13
2006
Definition, properties and wavelet analysis of multiscale fractional Brownian motion. Zbl 1142.60329
Bardet, Jean-Marc; Bertrand, Pierre
13
2007
On the Assouad dimension of graph directed Moran fractals. Zbl 1222.28017
Olsen, L.
13
2011
Green’s functions on fractals. Zbl 0983.31005
Kigami, Jun; Sheldon, Daniel R.; Strichartz, Robert S.
13
2000
On smoothness for a class of fractal interpolation surfaces. Zbl 1302.37020
Wang, Hong-Yong
13
2006
Information volume fractal dimension. Zbl 1491.94029
Gao, Qiuya; Wen, Tao; Deng, Yong
13
2021
Asymptotic formula of average distances on fractal networks modeled by Sierpinski tetrahedron. Zbl 1434.28017
Deng, Juan; Wang, Qin
13
2019
Novel approach for fractal nonlinear oscillators with discontinuities by Fourier series. Zbl 1502.34026
Wang, Kang-Le
13
2022
On fractal-fractional waterborne disease model: a study on theoretical and numerical aspects of solutions via simulations. Zbl 1520.92068
Khan, Hasib; Alzabut, Jehad; Shah, Anwar; He, Zai-Yin; Etemad, Sina; Rezapour, Shahram; Zada, Akbar
3
2023
New fractal soliton solutions for the coupled fractional Klein-Gordon equation with \(\beta\)-fractional derivative. Zbl 1518.35651
Wang, Kangle
3
2023
Construction of fractal soliton solutions for the fractional evolution equations with conformable derivative. Zbl 1521.35162
Wang, Kangle
3
2023
\(n\)-soliton, breather, lump solutions and diverse traveling wave solutions of the fractional \((2+1)\)-Dimensional Boussinesq equation. Zbl 1521.35142
Wang, Kang-Jia; Liu, Jing-Hua; Si, Jing; Shi, Feng; Wang, Guo-Dong
3
2023
A novel numerical method for solving fuzzy variable-order differential equations with Mittag-Leffler kernels. Zbl 07726765
Jafari, Hossein; Ganji, Roghayeh Moallem; Ganji, Davood Domiri; Hammouch, Zakia; Gasimov, Yusif S.
2
2023
A novel collective algorithm using cubic uniform spline and finite difference approaches to solving fractional diffusion singular wave model through damping-reaction forces. Zbl 07726771
Yao, Shao-Wen; Arqub, Omar Abu; Tayebi, Soumia; Osman, M. S.; Mahmoud, W.; Inc, Mustafa; Alsulami, Hamed
2
2023
Investigation of the time fractional generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation with single-power law nonlinearity. Zbl 07726776
Liu, Jian-Gen; Zhang, Yu-Feng; Wang, Jing-Jing
2
2023
Existence and stability results for coupled system of fractional differential equations Involving AB-Caputo derivative. Zbl 1520.34006
Mehmood, Nayyar; Abbas, Ahsan; Akgül, Ali; Abdeljawad, Thabet; Alqudah, Manar A.
2
2023
New results on continuity by order of derivative for conformable parabolic equations. Zbl 1521.35193
Tuan, Nguyen Huy; Nguyen, Van Tien; O&rsquo;Regan, Donal; Can, Nguyen Huu; Nguyen, Van Thinh
1
2023
Epidemiological analysis of human liver model with fractional operator. Zbl 07726750
Azeem, Muhammad; Farman, Muhammad; Abukhaled, Marwan; Nisar, Kottakkaran Sooppy; Akgül, Ali
1
2023
Analysis of the conformable temporal-fractional Swift-Hohenberg equation using a novel computational technique. Zbl 07726753
Khan, Aziz; Liaqat, Muhammad Imran; Alqudah, Manar A.; Abdeljawad, Thabet
1
2023
Application of Hosoya polynomial to solve a class of time-fractional diffusion equations. Zbl 1521.35187
Jafari, Hossein; Ganji, Roghayeh Moallem; Narsale, Sonali Mandar; Kgarose, Maluti; Nguyen, Van Thinh
1
2023
Semi-analytical view of time-fractional PDEs with proportional delays pertaining to index and Mittag-Leffler memory interacting with hybrid transforms. Zbl 1522.35563
Shi, Lei; Rashid, Saima; Sultana, Sobia; Khalid, Aasma; Agarwal, Praveen; Osman, Mohamed S.
1
2023
Variational principle and solitary wave of the fractal fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave model. Zbl 07726779
Sun, Jianshe
1
2023
The Simpson-type integral inequalities involving twice local fractional differentiable generalized \((s, P)\)-convexity and their applications. Zbl 07726781
Zhou, Yunxiu; Du, Tingsong
1
2023
A new fractal modified Benjamin-Bona-Mahony equation: its generalized variational principle and abundant exact solutions. Zbl 07726790
Wang, Kang-Jia; Si, Jing; Wang, Guo Dong; Shi, Feng
1
2023
Spectral analysis for weighted level-4 Sierpiński graphs and its applications. Zbl 1519.05110
Zhu, Xingchao; Zhu, Zhiyong
1
2023
Investigation of financial bubble mathematical model under fractal-fractional Caputo derivative. Zbl 1521.91346
Li, Bo; Zhang, Tongxin; Zhang, Chao
1
2023
Local geometry of self-similar sets: typical balls, tangent measures and asymptotic spectra. Zbl 07726801
Morán, Manuel; Llorente, Marta; Mera, María Eugenia
1
2023
Stress-dependent models for permeability and porosity of fractured rock based on fractal theory. Zbl 07726806
Miao, Tongjun; Chen, Aimin; Li, Zun; Liu, Daping; Yu, Boming
1
2023
Existence results for multi-term fractional differential equations with nonlocal boundary conditions involving Atangana-Baleanu derivative. Zbl 07700472
Abbas, Ahsan; Mehmood, Nayyar; Akgül, Ali; Abdeljawad, Thabet; Alqudah, Manar A.
1
2023
Adapted homotopy perturbation method with Shehu transform for solving conformable fractional nonlinear partial differential equations. Zbl 1518.35634
Liaqat, Muhammad Imran; Khan, Aziz; Alqudah, Manar A.; Abdeljawad, Thabet
1
2023
Characterizations of the inversion formula of the continuous Bessel wavelet transform of distributions in \(H_\mu^\prime(\mathbb{R}^+)\). Zbl 1527.46027
Maurya, Jay Singh; Upadhyay, Santosh Kumar
1
2023
Simpson-like inequalities for twice differentiable \((s, P)\)-convex mappings involving with AB-fractional integrals and their applications. Zbl 07700490
Yuan, Xiaoman; Xu, Lei; Du, Tingsong
1
2023
Non-differentiable exact solutions of the local fractional Zakharov-Kuznetsov equation on the Cantor sets. Zbl 07700494
Wang, Kang-Jia; Shi, Feng; Si, Jing; Liu, Jing-Hua; Wang, Guo-Dong
1
2023
Totally new soliton phenomena in the fractional Zoomeron model for shallow water. Zbl 1521.35164
Wang, Kang-Le
1
2023
Some further extensions considering discrete proportional fractional operators. Zbl 1495.26021
Rashid, Saima; Sultana, Sobia; Karaca, Yeliz; Khalid, Aasma; Chu, Yu-Ming
29
2022
Numerical solution of traveling waves in chemical kinetics: time-fractional fishers equations. Zbl 07507535
Wang, Fuzhang; Khan, Muhammad Nawaz; Ahmad, Imtiaz; Ahmad, Hijaz; Abu-Zinadah, Hanaa; Chu, Yu-Ming
24
2022
Numerical solution of distributed order integro-differential equations. Zbl 1505.65324
Zhang, Anqi; Ganji, Roghayeh Moallem; Jafari, Hossein; Ncube, Mahluli Naisbitt; Agamalieva, Latifa
17
2022
On analysis of fractional order mathematical model of hepatitis B using Atangana-Baleanu Caputo (ABC) derivative. Zbl 1486.92219
Din, Anwarud; Li, Yongjin; Khan, Faiz Muhammad; Khan, Zia Ullah; Liu, Peijiang
14
2022
Novel approach for fractal nonlinear oscillators with discontinuities by Fourier series. Zbl 1502.34026
Wang, Kang-Le
13
2022
Fractal variational principles for two different types of fractal plasma models with variable coefficients. Zbl 1493.35133
Wang, Kang-Le; Wang, Hao
10
2022
New developments in weighted \(n\)-fold type inequalities via discrete generalized \(\hat{\hbar}\)-proportional fractional operators. Zbl 07507540
Rashid, Saima; Abouelmagd, Elbaz I.; Sultana, Sobia; Chu, Yu-Ming
10
2022
Parameter-varying artificial potential field control of virtual coupling system with nonlinear dynamics. Zbl 1485.93023
Cao, Yuan; Wen, Jiakun; Hobiny, Aatef; Li, Peng; Wen, Tao
10
2022
Some recent developments on dynamical \(\hbar\)-discrete fractional type inequalities in the frame of nonsingular and nonlocal kernels. Zbl 1487.39011
Rashid, Saima; Abouelmagd, Elbaz I.; Khalid, Aasma; Farooq, Fozia Bashir; Chu, Yu-Ming
10
2022
Fractal solitary wave solutions for fractal nonlinear dispersive Boussinesq-like models. Zbl 1504.35390
Wang, Kangle
9
2022
A novel perspective to the local fractional bidirectional wave model on Cantor sets. Zbl 1502.78013
Wang, Kangle
8
2022
Information fractal dimension of mass function. Zbl 1512.28003
Qiang, Chenhui; Deng, Yong; Cheong, Kang Hao
8
2022
Abundant exact traveling wave solutions to the local fractional \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. Zbl 1491.35106
Wang, Kang-Jia; Wang, Guo-Dong; Shi, Feng
7
2022
Jensen-Mercer inequality and related results in the fractal sense with applications. Zbl 1495.26026
Butt, Saad Ihsan; Yousaf, Saba; Ahmad, Hijaz; Nofal, Taher A.
7
2022
Caputo type fractional operator applied to hepatitis B system. Zbl 1492.34051
Din, Anwarud; Li, Yongjin; Yusuf, Abdullahi; Ali, Aliyu Isa
7
2022
A modified frequency-amplitude formulation for fractal vibration systems. Zbl 1507.74163
He, Chun-Hui; Liu, Chao
6
2022
A novel permeability model in damaged tree-like bifurcating networks considering the influence of roughness. Zbl 1496.28008
Liu, Zhenjie; Gao, Jun; Xiao, Boqi; Cao, Jiyin; Fang, Jing; Liang, Mingchao; Long, Gongbo
6
2022
A fractal modification of the unsteady Korteweg-de Vries model and its generalized fractal variational principle and diverse exact solutions. Zbl 1509.35247
Wang, Kang-Jia
6
2022
Exact traveling wave solution for the fractal Riemann wave model Arising in ocean science. Zbl 1501.35118
Wang, Kangle
6
2022
Computational analysis of fractional order imperfect testing infection disease model. Zbl 1504.34114
Khan, Zareen A.; Khan, Aziz; Abdeljawad, Thabet; Khan, Hasib
5
2022
Exact traveling wave solutions for the local fractional Kadomtsov-Petviashvili-Benjamin-Bona-Mahony model by variational perspective. Zbl 1507.35333
Wang, Kangle
5
2022
Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems. Zbl 07490674
Abdelhakem, Mohamed; Abdelhamied, Dina; Alshehri, Maryam G.; El-Kady, Mamdouh
5
2022
Existence results for a coupled system of nonlinear fractional \(q\)-integro-difference equations with \(q\)-integral-coupled boundary conditions. Zbl 1485.39008
Alsaedi, Ahmed; Al-Hutami, Hana; Ahmad, Bashir; Agarwal, Ravi P.
5
2022
Research on the nonlinear vibration of carbon nanotube embedded in fractal medium. Zbl 1496.74069
Wang, Kang-Jia
5
2022
Bäcklund transformation and diverse exact explicit solutions of the fractal combined KdV-mKdV equation. Zbl 1509.35270
Wang, Kang-Jia
5
2022
Analyses of some structural properties on a class of hierarchical scale-free networks. Zbl 1502.90033
Liu, Jia-Bao; Bao, Yan; Zheng, Wu-Ting
5
2022
Generalized variational principles and new abundant wave structures of the fractal coupled Boussinesq equation. Zbl 1501.35007
Wang, Kang-Jia; Wang, Guo-Dong; Shi, Feng; Zhu, Hong-Wei
5
2022
A novel variational approach to fractal Swift-Hohenberg model arising in fluid dynamics. Zbl 1501.35008
Wang, Kang-Le
5
2022
Fractal Hadamard-Mercer-type inequalities with applications. Zbl 1494.26037
Butt, Saad Ihsan; Yousaf, Saba; Younas, Muhammad; Ahmad, Hijaz; Yao, Shao-Wen
5
2022
An improvement of the power-mean integral inequality in the frame of fractal space and certain related midpoint-type integral inequalities. Zbl 1502.26028
Yu, Shuhong; Mohammed, Pshtiwan Othman; Xu, Lei; Du, Tingsong
5
2022
A fractal model of power-law fluid through charged fibrous porous media by using the fractional-derivative theory. Zbl 1494.76090
Xiao, Boqi; Li, Yupeng; Long, Gongbo
4
2022
Heat equations defined by self-similar measures with overlaps. Zbl 1491.35088
Tang, Wei; Ngai, Sze-Man
4
2022
Analysis of time-fractional Kawahara equation under Mittag-Leffler power law. Zbl 1485.35403
Rahman, Mati Ur; Arfan, Muhammad; Deebani, Wejdan; Kumam, Poom; Shah, Zahir
4
2022
Impact of the same degenerate additive noise on a coupled system of fractional space diffusion equations. Zbl 1491.60105
Mohammed, Wael W.; Iqbal, Naveed
4
2022
The numerical strategy of tempered fractional derivative in European double barrier option. Zbl 1484.91521
Xie, Chengxuan; Xia, Xiaoxiao; Aghdam, Yones Esmaeelzade; Farnam, Behnaz; Jafari, Hossein; Wang, Shuchun
4
2022
Solitary waves of the fractal regularized long-wave equation traveling along an unsmooth boundary. Zbl 1507.35205
Wang, Kang-Jia; Li, Geng; Liu, Jing-Hua; Wang, Guo-Dong
4
2022
Dynamics of crime transmission using fractional-order differential equations. Zbl 1502.34054
Bansal, Komal; Arora, Sugandha; Pritam, Kocherlakota Satya; Mathur, Trilok; Agarwal, Shivi
4
2022
On the generalized weighted Caputo-type differential operator. Zbl 1495.26011
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu
4
2022
Periodic wave structure of the fractal generalized fourth-order Boussinesq equation traveling along the non-smooth boundary. Zbl 1509.35248
Wang, Kang-Jia; Shi, Feng; Wang, Guo-Dong
4
2022
Novel scheme for the fractal-fractional short water wave model with unsmooth boundaries. Zbl 1509.35250
Wang, Kangle
4
2022
Application of the extended f-expansion method for solving the fractional Gardner equation with conformable fractional derivative. Zbl 1501.35012
Wang, Kang-Jia; Shi, Feng; Liu, Jing-Hua; Si, Jing
4
2022
Hadamard fractional calculus on time scales. Zbl 1515.26032
Song, Ting-Ting; Wu, Guo-Cheng; Wei, Jia-Li
4
2022
Bounded variation on the Sierpiński gasket. Zbl 1522.28012
Verma, S.; Sahu, A.
4
2022
A new \((3+1)\)-Dimensional KdV equation and mkdv equation with their corresponding fractional forms. Zbl 1504.35456
Wang, Gangwei; Wazwaz, Abdul-Majid
4
2022
Gudermannian neural networks to investigate the Liénard differential model. Zbl 07537366
Wang, Bo; Wang, Ye; Gómez-Aguilar, J. F.; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Jahanshahi, Hadi; Alassafi, Madini O.; Alsaadi, Fawaz E.
3
2022
Use of evolutionary algorithms in a fractional framework to prevent the spread of coronavirus. Zbl 1498.92267
Wang, Bo; Jahanshahi, Hadi; Karaca, Yeliz; Bekiros, Stelios; Xia, Wei-Feng; Alkhateeb, Abdulhameed F.; Nour, Majid
3
2022
Numerical computing to solve the nonlinear corneal system of eye surgery using the capability of morlet wavelet artificial neural networks. Zbl 07578007
Wang, Bo; Gómez-Aguilar, J. F.; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Xia, Wei-Feng; Jahanshahi, Hadi; Alassafi, Madini O.; Alsaadi, Fawaz E.
3
2022
Computational study of fractional-order vector borne diseases model. Zbl 07578009
Bedi, Pallavi; Khan, Aziz; Kumar, Anoop; Abdeljawad, Thabet
3
2022
Modeling the dynamics of stochastic norovirus epidemic model with time delay. Zbl 1498.92270
Wang, Ye; Abdeljawad, Thabet; Din, Anwarud
3
2022
A hybrid approach for synchronizing between two reaction-diffusion systems of integer- and fractional-order applied on certain chemical models. Zbl 1498.93696
Wang, Bo; Ouannas, Adel; Karaca, Yeliz; Xia, Wei-Feng; Jahanshahi, Hadi; Alkhateeb, Abdulhameed F.; Nour, Majid
3
2022
Exact traveling wave solutions to the local fractional \((3+1)\)-dimensional Jimbo-Miwa equation on Cantor sets. Zbl 1501.35117
Wang, Kang-Jia
3
2022
Analysis of thermal conductivity of damaged tree-like bifurcation network with fractal roughened surfaces. Zbl 07610608
Xiao, Boqi; Fang, Jing; Long, Gongbo; Tao, Yuanzhang; Huang, Zijun
3
2022
Fractal permeability model for power-law fluids in fractured porous media with rough surfaces. Zbl 1506.76179
Xiao, Boqi; Li, Yupeng; Long, Gongbo; Yu, Boming
3
2022
New inequalities on generalized \(m\)-convexity on fractal sets. Zbl 1515.26028
Sánchez C., Rainier V.; Sanabria, José E.; Trousselot, Eduard
3
2022
A mixed multifractal analysis for quasi-Ahlfors vector-valued measures. Zbl 1495.28007
Ben Mabrouk, Anouar; Farhat, Adel
3
2022
Chaotic behavior of Bhalekar-Gejji dynamical system under Atangana-Baleanu fractal fractional operator. Zbl 1493.37091
Ahmad, Shabir; Ullah, Aman; Akgül, Ali; Abdeljawad, Thabet
3
2022
On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models. Zbl 1507.35233
Ciancio, Armando; Yel, Gulnur; Kumar, Ajay; Baskonus, Haci Mehmet; Ilhan, Esin
3
2022
Strange nonchaotic attractors in a periodically forced piecewise linear system with noise. Zbl 1493.37040
Li, Gaolei; Yue, Yuan; Grebogi, Celso; Li, Denghui; Xie, Jianhua
3
2022
A quaternionic fractional Borel-Pompeiu-type formula. Zbl 1486.30135
González-Cervantes, José Oscar; Bory-Reyes, Juan
3
2022
Existence results and numerical study on novel coronavirus 2019-nCoV/SARS-CoV-2 model using differential operators based on the generalized Mittag-Leffler kernel and fixed points. Zbl 1508.92289
Panda, Sumati Kumari; Atangana, Abdon; Abdeljawad, Thabet
3
2022
Analysis and implementation of numerical scheme for the variable-order fractional modified sub-diffusion equation. Zbl 1509.65068
Ali, Umair; Naeem, Muhammad; Abdullah, Farah Aini; Wang, Miao-Kun; Salama, Fouad Mohammad
3
2022
Dynamic response of a fractal cushioning packaging system. Zbl 1504.74064
Elías-Zúñiga, Alex; Palacios-Pineda, Luis Manuel; Olvera Trejo, Daniel; Martínez-Romero, Oscar
3
2022
On box dimension of Hadamard fractional integral (partly answer fractal calculus conjecture). Zbl 1508.28002
Xiao, Wei
3
2022
Reproducing kernel Hilbert spaces of functions for curve fitting problems. Zbl 1506.28008
Luor, Dah-Chin
2
2022
Hopf bifurcation of a fractional tri-neuron network with different orders and leakage delay. Zbl 1500.34060
Wang, Yangling; Cao, Jinde; Huang, Chengdai
2
2022
An insight on the fractal power law flow: from a Hausdorff vector calculus perspective. Zbl 1490.28005
Yang, Xiao-Jun
2
2022
On two-scale dimension and its application for deriving a new analytical solution for the fractal Duffing’s equation. Zbl 1506.70025
Elías-Zúñiga, Alex
2
2022
A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. Zbl 1497.65204
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan
2
2022
The numerical meshless approach for solving the 2D time nonlinear multi-term fractional cable equation in complex geometries. Zbl 1496.65134
Zou, Wennan; Tang, Yu; Hosseini, Vahid Reza
2
2022
Case study on total controllability and optimal control of Hilfer neutral non-instantaneous fractional derivative. Zbl 1504.34226
Sooppy Nisar, Kottakkaran; Ravichandran, C.; Abdel-Aty, Abdel-Haleem; Yahia, Ibrahim S.; Park, Choonkil
2
2022
On an extension of the operator with Mittag-Leffler kernel. Zbl 1514.34008
Al-Refai, Mohammed; Baleanu, Dumitru
2
2022
Numerical investigation of the nonlinear fractional Ostrovsky equation. Zbl 1504.35388
Wang, Fuzhang; Hou, Enran; Salama, Samir A.; Khater, Mostafa M. A.
2
2022
Investigation to the local fractional Fokas system on Cantor set by a novel technology. Zbl 1507.35332
Wang, Kang-Jia
2
2022
A fractal modification of the Sharma-Tasso-Olver equation and its fractal generalized variational principle. Zbl 1501.35006
Wang, Kang-Jia; Shi, Feng; Liu, Jing-Hua
2
2022
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Cited by 5,271 Authors

50 Chand, Arya Kumar Bedabrata
44 Xi, Lifeng
39 Băleanu, Dumitru I.
38 Navascués, María Antonia
34 Su, Weiyi
32 Viswanathan, Puthan Veedu
31 Abdeljawad, Thabet
27 Wang, Xingyuan
26 Wang, Kang-Jia
25 Chu, Yuming
23 Dai, Meifeng
23 Golmankhaneh, Alireza Khalili
22 Wang, Kangle
21 Rashid, Saima
20 Strichartz, Robert S.
19 Jarad, Fahd
19 Liang, Yongshun
19 Selmi, Bilel
19 Vijender, Nallapu
17 Du, Tingsong
17 Rezapour, Shahram
17 Verma, Saurabh
16 Taqqu, Murad S.
16 Yao, Kui
15 Budak, Hüseyin
15 El-Nabulsi, Rami Ahmad
15 Sabir, Zulqurnain
15 Teplyaev, Alexander
15 Xiao, Boqi
15 Yu, Boming
14 Liu, Fawang
14 Shah, Kamal
14 Wang, Qin
13 Akgül, Ali
13 Drakopoulos, Vasileios
13 Gowrisankar, A.
13 Ma, Chunsheng
13 Ngai, Sze-Man
13 Raja, Muhammad Asif Zahoor
13 Wang, Guodong
13 Yang, Xiao-Jun
12 Etemad, Sina
12 Fraser, Jonathan MacDonald
12 Karaca, Yeliz
12 Ri, Songil
12 Rochon, Dominic
12 Sun, Yu
12 Xue, Yumei
11 Alzabut, Jehad O.
11 Bárány, Balázs
11 Inc, Mustafa
11 Long, Gongbo
11 Ma, Li
11 Veeresha, Pundikala
11 Wu, Min
10 Agarwal, Praveen
10 Deng, Yong
10 Didier, Gustavo
10 Huang, Chengdai
10 Jiang, Kan
10 Jørgensen, Palle E. T.
10 Leonenko, Nikolai N.
10 Li, Changpin
10 Loridant, Benoit
10 Machado, José António Tenreiro
10 Miculescu, Radu
10 Ruan, Huo-Jun
10 Thuswaldner, Jörg Maximilian
10 Ye, Qianqian
9 Ahmad, Bashir
9 Bory Reyes, Juan
9 El-Dib, Yusry O.
9 Fan, Jiaqi
9 Jha, Sangita
9 Ju, Tingting
9 Katiyar, Saurabh Kumar
9 Liu, Jiangen
9 Morris, Ian D.
9 Salahshour, Soheil
9 Shi, Feng
9 Stanley, H. Eugene
9 Turner, Ian William
9 Wu, Bo
9 Yun, Cholhui
8 Abdalla, Mohamed
8 Abdo, Mohammed Salem
8 Anh, Vo V.
8 Balankin, Alexander S.
8 Bardet, Jean-Marc
8 Baskonus, Haci Mehmet
8 Bouboulis, Pantelis
8 Boulaaras, Salah Mahmoud
8 Cao, Jinde
8 Dalla, Leoni
8 Falconer, Kenneth J.
8 Gorenflo, Rudolf
8 Gu, Jiangwen
8 Hezenci, Fatih
8 Jafari, Hossein
8 Khan, Ilyas
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Cited in 506 Journals

666 Fractals
182 Chaos, Solitons and Fractals
106 Physica A
72 Journal of Mathematical Analysis and Applications
64 Mathematical Methods in the Applied Sciences
61 Advances in Difference Equations
53 Applied Mathematics and Computation
47 Communications in Nonlinear Science and Numerical Simulation
41 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
38 Fractional Calculus & Applied Analysis
37 International Journal of Applied and Computational Mathematics
34 Journal of Computational and Applied Mathematics
33 Journal of Function Spaces
32 Nonlinear Dynamics
30 Journal of Statistical Physics
30 Chaos
27 Computers & Mathematics with Applications
27 Advances in Mathematical Physics
23 Computational and Applied Mathematics
23 Journal of Applied Mathematics and Computing
22 AIMS Mathematics
21 Mathematics and Computers in Simulation
21 Physica D
21 Journal of Inequalities and Applications
21 Journal of Statistical Mechanics: Theory and Experiment
20 Journal of Mathematical Physics
20 Physics Letters. A
20 Mathematical Problems in Engineering
19 Qualitative Theory of Dynamical Systems
18 International Journal of Computer Mathematics
18 Mediterranean Journal of Mathematics
16 Demonstratio Mathematica
16 Abstract and Applied Analysis
15 Discrete Dynamics in Nature and Society
15 Journal of Fractal Geometry
14 Results in Mathematics
14 Numerical Methods for Partial Differential Equations
14 Numerical Algorithms
14 Stochastic Processes and their Applications
13 Statistics & Probability Letters
13 Applied Mathematics Letters
13 Bernoulli
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Proceedings of the American Mathematical Society
12 Turkish Journal of Mathematics
12 Boundary Value Problems
12 International Journal of Biomathematics
12 Communications in Theoretical Physics
12 Journal of Mathematics
11 Nonlinearity
11 Advances in Mathematics
11 Transactions of the American Mathematical Society
11 Ergodic Theory and Dynamical Systems
11 Applied Mathematical Modelling
11 Mathematical Biosciences and Engineering
10 Information Sciences
10 Applied Numerical Mathematics
10 Advances in Applied Clifford Algebras
10 International Journal of Modern Physics C
10 Journal of Physics A: Mathematical and Theoretical
10 GEM - International Journal on Geomathematics
9 Journal of Computational Physics
9 Acta Applicandae Mathematicae
9 Journal of Statistical Computation and Simulation
9 International Journal of Nonlinear Sciences and Numerical Simulation
9 The European Physical Journal B. Condensed Matter and Complex Systems
9 Complex Analysis and Operator Theory
8 Mathematische Nachrichten
8 Computational Statistics and Data Analysis
8 The Journal of Analysis
8 The Journal of Fourier Analysis and Applications
7 International Journal of Modern Physics B
7 Acta Mechanica
7 Bulletin of the Australian Mathematical Society
7 International Journal of Heat and Mass Transfer
7 Journal of Fluid Mechanics
7 Stochastic Analysis and Applications
7 Journal of Theoretical Probability
7 Mathematical and Computer Modelling
7 Indagationes Mathematicae. New Series
7 International Journal of Robust and Nonlinear Control
7 Complexity
7 Engineering Analysis with Boundary Elements
7 Journal of Mathematical Chemistry
7 Entropy
7 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Theoretical Biology
7 Mathematical Sciences
7 Electronic Research Archive
6 Communications in Mathematical Physics
6 International Journal of Theoretical Physics
6 Rocky Mountain Journal of Mathematics
6 Journal of Multivariate Analysis
6 Monatshefte für Mathematik
6 Theoretical Computer Science
6 Topology and its Applications
6 Journal of Time Series Analysis
6 The Journal of Geometric Analysis
6 Communications in Statistics. Simulation and Computation
6 Applied Mathematics. Series B (English Edition)
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Cited in 62 Fields

1,085 Measure and integration (28-XX)
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146 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
143 Operator theory (47-XX)
137 Combinatorics (05-XX)
122 Computer science (68-XX)
114 Information and communication theory, circuits (94-XX)
107 Harmonic analysis on Euclidean spaces (42-XX)
95 Number theory (11-XX)
84 Systems theory; control (93-XX)
80 Mechanics of deformable solids (74-XX)
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54 Geophysics (86-XX)
49 Functional analysis (46-XX)
49 Calculus of variations and optimal control; optimization (49-XX)
48 Integral equations (45-XX)
43 Integral transforms, operational calculus (44-XX)
38 Convex and discrete geometry (52-XX)
38 Classical thermodynamics, heat transfer (80-XX)
37 Potential theory (31-XX)
28 Mechanics of particles and systems (70-XX)
28 Optics, electromagnetic theory (78-XX)
27 Global analysis, analysis on manifolds (58-XX)
22 Relativity and gravitational theory (83-XX)
18 Geometry (51-XX)
17 Differential geometry (53-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
11 General and overarching topics; collections (00-XX)
10 Group theory and generalizations (20-XX)
10 Several complex variables and analytic spaces (32-XX)
8 Mathematical logic and foundations (03-XX)
8 Topological groups, Lie groups (22-XX)
8 Abstract harmonic analysis (43-XX)
7 Algebraic geometry (14-XX)
7 Astronomy and astrophysics (85-XX)
5 Nonassociative rings and algebras (17-XX)
5 Sequences, series, summability (40-XX)
5 Manifolds and cell complexes (57-XX)
5 Mathematics education (97-XX)
4 History and biography (01-XX)
4 Category theory; homological algebra (18-XX)
4 Algebraic topology (55-XX)
3 Commutative algebra (13-XX)
2 Field theory and polynomials (12-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)

Citations by Year