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International Journal of Differential Equations

Short Title: Int. J. Differ. Equ.
Publisher: Hindawi, New York, NY
ISSN: 1687-9643; 1687-9651/e
Online: http://www.hindawi.com/journals/ijde/contents
http://www.emis.de/journals/HOA/DENM/index.html
Predecessor: Differential Equations & Nonlinear Mechanics
Comments: The coverage of this journal is based on the electronic edition, bibliographic data of the print version may differ. This journal is available open access.
Documents Indexed: 381 Publications (since 2009)
References Indexed: 377 Publications with 8,906 References.
all top 5

Authors

7 Melliani, Said
6 Chadli, Lalla Saadia
6 Yousfi, Noura
5 Hattaf, Khalid
4 Alam Khan, Najeeb
4 Bhalekar, Sachin
4 Darus, Maslina
4 Harir, Atimad
4 Pašić, Mervan
3 Agwa, Hassan Ahmed Hassan
3 Ahmad, Rokiah Rozita
3 Daftardar-Gejji, Varsha
3 Geiser, Jürgen
3 Hassan, Heba A.
3 Hilal, Khalid
3 Jamil, Muhammad Kamran
3 Jator, Samuel N.
3 Khaldi, Rabah
3 Khodier, Ahmed Mohamed Mohamed
3 Noorani, Mohd Salmi Mohd
3 Ouaro, Stanislas
3 Rachik, Mostafa
3 Verma, Amit Kumar
3 Yoshida, Norio
2 Achtaich, Naceur
2 Ademola, Adeleke Timothy
2 Adesina, Olufemi Adeyinka
2 Agmour, Imane
2 Al-Smadi, Mohammed H.
2 Alamoush, Adnan Ghazy
2 Almenar, Pedro
2 Alomari, A. K.
2 Ara, Asmat
2 Arafa, Anas. A. M.
2 Babuţia, Mihai Gabriel
2 Bentounsi, Meriem
2 Biazar, Jafar
2 Bidah, Sara
2 Boukerrioua, Khaled
2 Buzhabadi, Reza
2 Chen, Yangquan
2 Chugunova, Marina A.
2 de la Sen, Manuel
2 Debela, Habtamu Garoma
2 Din, Ummul Khair Salma
2 Duressa, Gemechis File
2 El Allaoui, Abdelati
2 El Hachimi, Abderrahmane
2 Elfoutayeni, Youssef
2 Essoufi, El Hassan
2 Guezane-Lakoud, Assia
2 Han, Xiaoling
2 Hannabou, Mohamed
2 Haslam, Michael C.
2 Hattori, Harumi
2 Hu, Lei
2 Idrees, Muhammad
2 Islam, Saeed
2 Jódar Sanchez, Lucas Antonio
2 Kejela, Solomon Bati
2 Khan, Nadeem Alam
2 Li, Tongxing
2 Li, Yongkun
2 Luo, Liping
2 Luo, Zhenguo
2 Makhlouf, Amar
2 Meng, Fanwei
2 Molliq, R. Yulita
2 Mondal, Sankar Prasad
2 Monsurrò, Sara
2 Muñoz Grajales, Juan Carlos
2 Naumkin, Pavel Ivanovich
2 Ngwane, Fidele F.
2 Ogundare, Babatunde Sunday
2 Ogundiran, Michael Oluniyi
2 Rao, Sabbavarapu Nageswara
2 Saberi Nik, Hassan
2 Secchi, Paolo
2 Singh, Brajesh Kumar
2 Taranets, Roman M.
2 Tariboon, Jessada
2 Tarzia, Domingo Alberto
2 Thandapani, Ethiraju
2 Transirico, Maria
2 Ullah, Hakeem
2 Zakary, Omar
1 Abasiekwere, U.
1 Abbas, Syed
1 Abdullaev, Obidjon Khayrullayevich
1 Abou-El-Ela, A. M. A.
1 Adeyeye, Oluwaseun
1 Adnani, Jihad
1 Adnaoui, Khalid
1 Afshar Kermani, Mozhdeh
1 Agrawal, Om Prakash
1 Ahmad, Bashir
1 Akhtaeva, Nazgul S.
1 Aktaş, Esra
1 Al-Hamouri, Ruba
1 Al-Juaifri, Ghassan A.
...and 588 more Authors
all top 5

Fields

208 Ordinary differential equations (34-XX)
172 Partial differential equations (35-XX)
40 Operator theory (47-XX)
30 Numerical analysis (65-XX)
27 Biology and other natural sciences (92-XX)
19 Fluid mechanics (76-XX)
14 Real functions (26-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
12 Mechanics of deformable solids (74-XX)
10 Difference and functional equations (39-XX)
9 Systems theory; control (93-XX)
7 Integral equations (45-XX)
7 Probability theory and stochastic processes (60-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Functions of a complex variable (30-XX)
5 Special functions (33-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 Computer science (68-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
2 Optics, electromagnetic theory (78-XX)
2 Geophysics (86-XX)
1 Number theory (11-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

221 Publications have been cited 954 times in 904 Documents Cited by Year
The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey. Zbl 1222.60060
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni
49
2010
Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations. Zbl 1207.34012
Wang, Jinhua; Xiang, Hongjun; Liu, Zhigang
48
2010
On the selection and meaning of variable order operators for dynamic modeling. Zbl 1207.34011
Ramirez, Lynnette E. S.; Coimbra, Carlos F. M.
36
2010
Antisynchronization of nonidentical fractional-order chaotic systems using active control. Zbl 1238.34095
Bhalekar, Sachin; Daftardar-Gejji, Varsha
32
2011
He’s variational iteration method for solving fractional Riccati differential equation. Zbl 1207.34020
Jafari, H.; Tajadodi, H.
26
2010
Asymptotical stability of nonlinear fractional differential system with Caputo derivative. Zbl 1239.34008
Zhang, Fengrong; Li, Changpin; Chen, Yangquan
25
2011
Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions. Zbl 1207.34007
Ahmad, Bashir; Nieto, Juan J.
23
2010
Time-optimal control of systems with fractional dynamics. Zbl 1203.49031
Tricaud, Christophe; Chen, Yangquan
22
2010
Convergence of the new iterative method. Zbl 1239.34014
Bhalekar, Sachin; Daftardar-Gejji, Varsha
22
2011
Existence of the mild solutions for impulsive fractional equations with infinite delay. Zbl 1239.34094
Dabas, Jaydev; Chauhan, Archana; Kumar, Mukesh
20
2011
Analysis of Caputo impulsive fractional order differential equations with applications. Zbl 1275.34010
Mahto, Lakshman; Abbas, Syed; Favini, Angelo
15
2013
Long-term damped dynamics of the extensible suspension bridge. Zbl 1225.35152
Bochicchio, Ivana; Giorgi, Claudio; Vuk, Elena
13
2010
An explicit numerical method for the fractional cable equation. Zbl 1237.65097
Quintana-Murillo, J.; Yuste, S. B.
13
2011
Linear fractionally damped oscillator. Zbl 1207.34010
Naber, Mark
12
2010
Generalized monotone iterative technique for Caputo fractional differential equation with periodic boundary condition via initial value problem. Zbl 1267.34011
Ramírez, J. Diego; Vatsala, A. S.
12
2012
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term. Zbl 1203.82068
Yang, Qianqian; Liu, Fawang; Turner, Ian
11
2010
The second eigenvalue of the \(p\)-Laplacian as \(p\) goes to 1. Zbl 1207.35235
Parini, Enea
11
2010
Existence of positive solutions for fractional differential equation with nonlocal boundary condition. Zbl 1238.34012
Gao, Hongliang; Han, Xiaoling
11
2011
On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative. Zbl 1251.34011
Merdan, Mehmet
10
2012
On the speed of spread for fractional reaction-diffusion equations. Zbl 1225.35252
Engler, Hans
10
2010
Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays. Zbl 06915966
Hattaf, Khalid; Yousfi, Noura
10
2018
Viscosity solutions of uniformly elliptic equations without boundary and growth conditions at infinity. Zbl 1237.35041
Galise, G.; Vitolo, A.
10
2011
Fractional order difference equations. Zbl 1267.39001
Mohan, J. Jagan; Deekshitulu, G. V. S. R.
9
2012
Mixed boundary value problem on hypersurfaces. Zbl 1308.35116
Duduchava, R.; Tsaava, M.; Tsutsunava, T.
9
2014
Generalized differential transform method to space-time fractional telegraph equation. Zbl 1234.35299
Garg, Mridula; Manohar, Pratibha; Kalla, Shyam L.
8
2011
Existence of solutions for integrodifferential equations of fractional order with antiperiodic boundary conditions. Zbl 1203.45005
Alsaedi, Ahmed
7
2009
Infinitely many solutions for a Robin boundary value problem. Zbl 1207.35154
Qian, Aixia; Li, Chong
7
2010
Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique. Zbl 1206.35248
Shateri, Majid; Ganji, D. D.
7
2010
Solving fractional-order logistic equation using a new iterative method. Zbl 1269.34015
Bhalekar, Sachin; Daftardar-Gejji, Varsha
7
2012
Fractional variational iteration method for solving fractional partial differential equations with proportional delay. Zbl 06915938
Singh, Brajesh Kumar; Kumar, Pramod
7
2017
Practical stability in terms of two measures for impulsive differential equations with “supremum”. Zbl 1239.34089
Hristova, S. G.; Georgieva, A.
7
2011
Qualitative analysis of delayed SIR epidemic model with a saturated incidence rate. Zbl 1269.34088
Rihan, Fathalla A.; Anwar, M. Naim
6
2012
Nonlocal problems for fractional differential equations via resolvent operators. Zbl 1269.34007
Fan, Zhenbin; Mophou, Gisèle
6
2013
Positive periodic solutions of cooperative systems with delays and feedback controls. Zbl 1269.34087
Niyaz, Tursuneli; Muhammadhaji, Ahmadjan
6
2013
Stability, boundedness, and existence of periodic solutions to certain third-order delay differential equations with multiple deviating arguments. Zbl 1339.34072
Ademola, A. T.; Ogundare, B. S.; Ogundiran, M. O.; Adesina, O. A.
6
2015
Existence and permanence in a diffusive KiSS model with robust numerical simulations. Zbl 1337.65133
Owolabi, Kolade M.; Patidar, Kailash C.
6
2015
A new technique of Laplace variational iteration method for solving space-time fractional telegraph equations. Zbl 1294.35184
Alawad, Fatima A.; Yousif, Eltayeb A.; Arbab, Arbab I.
6
2013
On \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spaces. Zbl 1291.93181
Babuţia, Mihai Gabriel; Megan, Mihail; Popa, Ioan-Lucian
6
2013
Multiplicity results for the \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary condition. Zbl 1459.35198
Saoudi, K.; Kratou, M.; Alsadhan, S.
6
2016
Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations. Zbl 06915928
Isah, Abdulnasir; Phang, Chang; Phang, Piau
6
2017
Homotopy analysis method for solving foam drainage equation with space- and time-fractional derivatives. Zbl 1234.35298
Fadravi, Hadi Hosseini; Nik, Hassan Saberi; Buzhabadi, Reza
6
2011
\(W^{2,2}\) a priori bounds for a class of elliptic operators. Zbl 1250.47045
Monsurrò, Sara; Salvato, Maria; Transirico, Maria
6
2011
New method for solving linear fractional differential equations. Zbl 1239.34007
Rida, S. Z.; Arafa, A. A. M.
6
2011
Numerical solution of the modified equal width wave equation. Zbl 1237.65110
Karakoç, Seydi Battal Gazi; Geyikli, Turabi
6
2012
Existence of periodic solutions to nonlinear differential equations of third order with multiple deviating arguments. Zbl 1251.34087
Tunç, Cemil
5
2012
Variational iteration method for initial and boundary value problems using He’s polynomials. Zbl 1206.35019
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Hosseini, M. M.
5
2010
Exact solutions for nonclassical Stefan problems. Zbl 1205.35038
Briozzo, Adriana C.; Tarzia, Domingo A.
5
2010
Generalized multiparameters fractional variational calculus. Zbl 1268.26008
Agrawal, Om Prakash
5
2012
Qualitative analysis of coating flows on a rotating horizontal cylinder. Zbl 1270.35279
Chugunova, Marina; Taranets, Roman M.
5
2012
On uniform exponential stability and exact admissibility of discrete semigroups. Zbl 1328.39008
Khan, Aftab; Rahmat, Gul; Zada, Akbar
5
2013
Resonant problems by quasilinearization. Zbl 1295.34028
Sveikate, Nadezhda
5
2014
Existence results for an impulsive neutral fractional integrodifferential equation with infinite delay. Zbl 1295.34077
Chadha, Alka; Pandey, Dwijendra N.
5
2014
A trigonometrically fitted block method for solving oscillatory second-order initial value problems and Hamiltonian systems. Zbl 06915945
Ngwane, F. F.; Jator, S. N.
5
2017
An inverse spectral problem for the matrix Sturm-Liouville operator with a Bessel-type singularity. Zbl 1327.34026
Bondarenko, Natalia
5
2015
Slip effects on fractional viscoelastic fluids. Zbl 1402.76017
Jamil, Muhammad; Khan, Najeeb Alam
5
2011
Exponential stability in hyperbolic thermoelastic diffusion problem with second sound. Zbl 1235.35192
Aouadi, Moncef
5
2011
Solving famous nonlinear coupled equations with parameters derivative by homotopy analysis method. Zbl 1234.35297
Effati, Sohrab; Nik, Hassan Saberi; Buzhabadi, Reza
5
2011
Solutions of the force-free Duffing-van der Pol oscillator equation. Zbl 1239.34015
Khan, Najeeb Alam; Jamil, Muhammad; Ali, Syed Anwar; Khan, Nadeem Alam
5
2011
A predator-prey model in the chemostat with time delay. Zbl 1207.34105
Fan, Guihong; Wolkowicz, Gail S. K.
4
2010
Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem. Zbl 1271.35013
Bonzi, B. K.; Ouaro, S.; Zongo, F. D. Y.
4
2013
Entropy solution for doubly nonlinear elliptic anisotropic problems with Robin boundary conditions. Zbl 1338.35183
Ibrango, I.; Ouaro, S.
4
2015
Periodicity, stability, and boundedness of solutions to certain second order delay differential equations. Zbl 1379.34064
Ademola, A. T.; Ogundare, B. S.; Ogundiran, M. O.; Adesina, O. A.
4
2016
Behavior of the \(p\)-Laplacian on thin domains. Zbl 1294.35014
Silva, Ricardo P.
4
2013
Picard type iterative scheme with initial iterates in reverse order for a class of nonlinear three point BVPs. Zbl 1295.34019
Singh, Mandeep; Verma, Amit K.
4
2013
The partial averaging of fuzzy differential inclusions on finite interval. Zbl 1295.34006
Plotnikov, Andrej V.; Komleva, Tatyana A.
4
2014
About a problem for loaded parabolic-hyperbolic type equation with fractional derivatives. Zbl 06915922
Sadarangani, Kishin B.; Abdullaev, Obidjon Kh.
4
2016
Critical oscillation constant for Euler type half-linear differential equation having multi-different periodic coefficients. Zbl 06915937
Misir, Adil; Mermerkaya, Banu
4
2017
Dynamics of a fractional order HIV infection model with specific functional response and cure rate. Zbl 06915942
Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura
4
2017
Regularity of weakly well-posed characteristic boundary value problems. Zbl 1221.35431
Morando, Alessandro; Secchi, Paolo
4
2010
A hybrid natural transform homotopy perturbation method for solving fractional partial differential equations. Zbl 1349.35051
Maitama, Shehu
4
2016
Positive almost periodic solutions for a time-varying fishing model with delay. Zbl 1238.34147
Li, Xia; Li, Yongkun; He, Chunyan
4
2011
The existence of solutions for a nonlinear fractional multi-point boundary value problem at resonance. Zbl 1242.34007
Han, Xiaoling; Wang, Ting
4
2011
Role of delay on planktonic ecosystem in the presence of a toxic producing phytoplankton. Zbl 1239.34099
Khare, Swati; Misra, O. P.; Singh, Chhatrapal; Dhar, Joydip
4
2011
A topological approach to bend-twist maps with applications. Zbl 1246.37066
Pascoletti, Anna; Zanolin, Fabio
4
2011
Application of heat balance integral methods to one-dimensional phase change problems. Zbl 1250.35013
Mitchell, S. L.; Myers, T. G.
3
2012
Analytic solutions of an iterative functional differential equation near resonance. Zbl 1207.34074
Liu, Tongbo; Li, Hong
3
2009
Double integral operators concerning starlike of order \(\beta \). Zbl 1201.30015
Kuroki, Kazuo; Owa, Shigeyoshi
3
2009
Solving the fractional Rosenau-Hyman equation via variational iteration method and homotopy perturbation method. Zbl 1267.35244
Yulita Molliq, R.; Noorani, M. S. M.
3
2012
A time-space collocation spectral approximation for a class of time fractional differential equations. Zbl 1267.35243
Huang, Fenghui
3
2012
Analytical study of nonlinear fractional-order integrodifferential equation: revisit Volterra’s population model. Zbl 1267.34138
Khan, Najeeb Alam; Mahmood, Amir; Khan, Nadeem Alam; Ara, Asmat
3
2012
On the initial-boundary-value problem for the time-fractional diffusion equation on the real positive semiaxis. Zbl 1336.35358
Goos, D.; Reyero, G.; Roscani, S.; Santillan Marcus, E.
3
2015
Global positive periodic solutions of generalized \(n\)-species Gilpin-Ayala delayed competition systems with impulses. Zbl 1294.34078
Luo, Zhenguo; Luo, Liping; Huang, Jianhua; Dai, Binxiang
3
2013
Multiscale splitting method for the Boltzmann-Poisson equation: application to the dynamics of electrons. Zbl 1320.82063
Geiser, Jürgen
3
2014
The dynamical analysis of a prey-predator model with a refuge-stage structure prey population. Zbl 1459.92090
Naji, Raid Kamel; Majeed, Salam Jasim
3
2016
Identifying initial condition in degenerate parabolic equation with singular potential. Zbl 06915923
Atifi, K.; Balouki, Y.; Essoufi, El-H.; Khouiti, B.
3
2017
Modeling and analysis of integrated pest control strategies via impulsive differential equations. Zbl 06915925
Páez Chávez, Joseph; Jungmann, Dirk; Siegmund, Stefan
3
2017
Uniqueness results for higher order elliptic equations in weighted Sobolev spaces. Zbl 06915957
Caso, Loredana; Di Gironimo, Patrizia; Monsurrò, Sara; Transirico, Maria
3
2018
A numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method. Zbl 1353.35022
Singh, Brajesh Kumar; Mahendra
3
2016
On a constructive approach for derivative-dependent singular boundary value problems. Zbl 1238.34041
Pandey, R. K.; Verma, Amit K.
3
2011
Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation. Zbl 1237.65099
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan
3
2011
Stability of optimal controls for the stationary Boussinesq equations. Zbl 1236.49064
Alekseev, Gennady; Tereshko, Dmitry
3
2011
Modified step variational iteration method for solving fractional biochemical reaction model. Zbl 1222.65111
Yulita Molliq, R.; Noorani, M. S. M.; Ahmad, R. R.; Alomari, A. K.
2
2011
Axisymmetric solutions to time-fractional heat conduction equation in a half-space under Robin boundary conditions. Zbl 1246.35203
Povstenko, Y. Z.
2
2012
An energy conserving numerical scheme for the dynamics of hyperelastic rods. Zbl 1402.74062
Fütterer, Thorsten; Klar, Axel; Wegener, Raimund
2
2012
Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. Zbl 1206.35170
Holden, H.; Karlsen, K. H.; Mitrovic, D.
2
2009
An extension to the Owa-Srivastava fractional operator with applications to parabolic starlike and uniformly convex functions. Zbl 1202.26012
Al-Refai, Oqlah; Darus, Maslina
2
2009
The periodic solutions of the compound singular fractional differential system with delay. Zbl 1207.34100
Wei, Xuting; Lu, Xuanzhu
2
2010
Sign-changing solutions for nonlinear elliptic problems depending on parameters. Zbl 1207.35287
Carl, Siegfried; Motreanu, Dumitru
2
2010
Oscillation criteria for second-order delay, difference, and functional equations. Zbl 1207.34082
Kikina, L. K.; Stavroulakis, I. P.
2
2010
Integral BVPs for a class of first-order impulsive functional differential equations. Zbl 1207.34078
He, Xiaofei; Xie, Jingli; Chen, Guoping; Shen, Jianhua
2
2010
Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation. Zbl 07349550
Maarouf, Nisrine; Maadan, Hicham; Hilal, Khalid
1
2021
Fuzzy conformable fractional differential equations. Zbl 07349552
Harir, Atimad; Melliani, Said; Chadli, Lalla Saadia
1
2021
Variational iteration method and differential transformation method for solving the SEIR epidemic model. Zbl 07349523
Harir, A.; Melliani, S.; El Harfi, H.; Chadli, L. S.
1
2020
Controllability of impulsive semilinear stochastic heat equation with delay. Zbl 07349540
Leiva, Hugo; Narvaez, Miguel; Sivoli, Zoraida
1
2020
On some sufficiency-type global stability results for time-varying dynamic systems with state-dependent parameterizations. Zbl 1447.34056
De la Sen, M.
1
2019
Solving linear second-order singularly perturbed differential difference equations via initial value method. Zbl 1447.34061
Melesse, Wondwosen Gebeyaw; Tiruneh, Awoke Andargie; Derese, Getachew Adamu
1
2019
Advanced analytical treatment of fractional logistic equations based on residual error functions. Zbl 1447.34008
Alshammari, Saleh; Al-Smadi, Mohammed; Al Shammari, Mohammad; Hashim, Ishak; Alias, Mohd Almie
1
2019
Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays. Zbl 06915966
Hattaf, Khalid; Yousfi, Noura
10
2018
Uniqueness results for higher order elliptic equations in weighted Sobolev spaces. Zbl 06915957
Caso, Loredana; Di Gironimo, Patrizia; Monsurrò, Sara; Transirico, Maria
3
2018
The impact of price on the profits of fishermen exploiting tritrophic prey-predator fish populations. Zbl 06915948
Bentounsi, Meriem; Agmour, Imane; Achtaich, Naceur; El Foutayeni, Youssef
2
2018
Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations. Zbl 06915956
Al Khawaja, U.; Al-Mdallal, Qasem M.
2
2018
Application of residual power series method to fractional coupled physical equations arising in fluids flow. Zbl 06915961
Arafa, Anas; Elmahdy, Ghada
2
2018
Computational optimization of residual power series algorithm for certain classes of fuzzy fractional differential equations. Zbl 06915964
Alaroud, Mohammad; Al-Smadi, Mohammed; Ahmad, Rokiah Rozita; Salma Din, Ummul Khair
2
2018
Well-posedness and numerical study for solutions of a parabolic equation with variable-exponent nonlinearities. Zbl 06915965
Al-Smail, Jamal H.; Messaoudi, Salim A.; Talahmeh, Ala A.
2
2018
Numerical simulations of water quality measurement model in an opened-closed reservoir with contaminant removal mechanism. Zbl 06915946
Thongtha, Kaboon; Kasemsuwan, Jaipong
1
2018
Linear \(\theta\)-method and compact \(\theta\)-method for generalised reaction-diffusion equation with delay. Zbl 06915958
Wu, Fengyan; Wang, Qiong; Cheng, Xiujun; Chen, Xiaoli
1
2018
Mathematical modeling of the adaptive immune responses in the early stage of the HBV infection. Zbl 06915959
Allali, Karam; Meskaf, Adil; Tridane, Abdessamad
1
2018
Stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. Zbl 06915963
Qin, Hongyu; Wang, Zhiyong; Zhu, Fumin; Wen, Jinming
1
2018
Fractional variational iteration method for solving fractional partial differential equations with proportional delay. Zbl 06915938
Singh, Brajesh Kumar; Kumar, Pramod
7
2017
Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations. Zbl 06915928
Isah, Abdulnasir; Phang, Chang; Phang, Piau
6
2017
A trigonometrically fitted block method for solving oscillatory second-order initial value problems and Hamiltonian systems. Zbl 06915945
Ngwane, F. F.; Jator, S. N.
5
2017
Critical oscillation constant for Euler type half-linear differential equation having multi-different periodic coefficients. Zbl 06915937
Misir, Adil; Mermerkaya, Banu
4
2017
Dynamics of a fractional order HIV infection model with specific functional response and cure rate. Zbl 06915942
Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura
4
2017
Identifying initial condition in degenerate parabolic equation with singular potential. Zbl 06915923
Atifi, K.; Balouki, Y.; Essoufi, El-H.; Khouiti, B.
3
2017
Modeling and analysis of integrated pest control strategies via impulsive differential equations. Zbl 06915925
Páez Chávez, Joseph; Jungmann, Dirk; Siegmund, Stefan
3
2017
Modelling the potential role of media campaigns in Ebola transmission dynamics. Zbl 06915933
Djiomba Njankou, Sylvie Diane; Nyabadza, Farai
2
2017
Existence and uniqueness of solutions for BVP of nonlinear fractional differential equation. Zbl 06915935
Su, Cheng-Min; Sun, Jian-Ping; Zhao, Ya-Hong
2
2017
An asymptotic-numerical hybrid method for solving singularly perturbed linear delay differential equations. Zbl 06915940
Cengizci, Süleyman
2
2017
A family of boundary value methods for systems of second-order boundary value problems. Zbl 06915929
Biala, T. A.; Jator, S. N.
1
2017
The morbidity of multivariable grey model MGM\((1, m)\). Zbl 06915930
Wang, Haixia; Zhao, Lingdi; Hu, Mingzhao
1
2017
Optimization of the two fishermen’s profits exploiting three competing species where prices depend on harvest. Zbl 06915932
Agmour, Imane; Bentounsi, Meriem; Achtaich, Naceur; El Foutayeni, Youssef
1
2017
Solving nonlinear fourth-order boundary value problems using a numerical approach: \((m + 1)\)th-step block method. Zbl 06915936
Adeyeye, Oluwaseun; Omar, Zurni
1
2017
Global dynamics of a periodic SEIRS model with general incidence rate. Zbl 06915939
Ávila-Vales, Eric; Rivero-Esquivel, Erika; García-Almeida, Gerardo Emilio
1
2017
Existence and uniqueness of solution of stochastic dynamic systems with Markov switching and concentration points. Zbl 06915941
Lukashiv, Taras; Malyk, Igor
1
2017
An analysis of the replicator dynamics for an asymmetric hawk-dove game. Zbl 06915944
Kohli, Ikjyot Singh; Haslam, Michael C.
1
2017
Multiplicity results for the \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary condition. Zbl 1459.35198
Saoudi, K.; Kratou, M.; Alsadhan, S.
6
2016
Periodicity, stability, and boundedness of solutions to certain second order delay differential equations. Zbl 1379.34064
Ademola, A. T.; Ogundare, B. S.; Ogundiran, M. O.; Adesina, O. A.
4
2016
About a problem for loaded parabolic-hyperbolic type equation with fractional derivatives. Zbl 06915922
Sadarangani, Kishin B.; Abdullaev, Obidjon Kh.
4
2016
A hybrid natural transform homotopy perturbation method for solving fractional partial differential equations. Zbl 1349.35051
Maitama, Shehu
4
2016
The dynamical analysis of a prey-predator model with a refuge-stage structure prey population. Zbl 1459.92090
Naji, Raid Kamel; Majeed, Salam Jasim
3
2016
A numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method. Zbl 1353.35022
Singh, Brajesh Kumar; Mahendra
3
2016
Existence of optimal control for a nonlinear-viscous fluid model. Zbl 1352.49004
Baranovskii, Evgenii S.; Artemov, Mikhail A.
2
2016
A comparison principle for the mean curvature flow equation with discontinuous coefficients. Zbl 1353.35087
De Zan, Cecilia; Soravia, Pierpaolo
2
2016
On oscillatory and asymptotic behavior of a second-order nonlinear damped neutral differential equation. Zbl 1353.34080
Tunç, Ercan; Grace, Said R.
2
2016
Piecewise approximate analytical solutions of high-order singular perturbation problems with a discontinuous source term. Zbl 1459.34065
El-Zahar, Essam R.
2
2016
Dirichlet boundary value problem for the second order asymptotically linear system. Zbl 1356.34031
Gritsans, A.; Sadyrbaev, F.; Yermachenko, I.
2
2016
On fuzzy improper integral and its application for fuzzy partial differential equations. Zbl 1336.28016
ElJaoui, ElHassan; Melliani, Said
1
2016
Multiplicity of positive solutions for fractional differential equation with \(p\)-Laplacian boundary value problems. Zbl 1354.34022
Rao, Sabbavarapu Nageswara
1
2016
Numerical solution of first-order linear differential equations in fuzzy environment by Runge-Kutta-Fehlberg method and its application. Zbl 1353.65078
Mondal, Sankar Prasad; Roy, Susmita; Das, Biswajit
1
2016
Semianalytic solution of space-time fractional diffusion equation. Zbl 1349.35396
Elsaid, A.; Shamseldeen, S.; Madkour, S.
1
2016
Interval oscillation criteria for forced second-order nonlinear delay dynamic equations with damping and oscillatory potential on time scales. Zbl 1353.34112
Agwa, Hassan A.; Khodier, Ahmed M. M.; Hassan, Heba A.
1
2016
Some comparison of solutions by different numerical techniques on mathematical biology problem. Zbl 06915919
Paul, Susmita; Mondal, Sankar Prasad; Bhattacharya, Paritosh; Chaudhuri, Kripasindhu
1
2016
Positive solutions to periodic boundary value problems of nonlinear fractional differential equations at resonance. Zbl 06915920
Hu, Lei
1
2016
Numerical solution of piecewise constant delay systems based on a hybrid framework. Zbl 06915921
Marzban, H. R.; Hajiabdolrahmani, S.
1
2016
Homogeneous-like generalized cubic systems. Zbl 1357.34064
Nicklason, G. R.
1
2016
The maximal Strichartz family of Gaussian distributions: Fisher information, index of dispersion, and stochastic ordering. Zbl 1386.60064
Selvitella, Alessandro
1
2016
Symmetry classification and exact solutions of a variable coefficient space-time fractional potential Burgers’ equation. Zbl 1349.35399
Gaur, Manoj; Singh, K.
1
2016
Error analysis of an implicit spectral scheme applied to the Schrödinger-Benjamin-Ono system. Zbl 1353.65096
Muñoz Grajales, Juan Carlos
1
2016
Stability, boundedness, and existence of periodic solutions to certain third-order delay differential equations with multiple deviating arguments. Zbl 1339.34072
Ademola, A. T.; Ogundare, B. S.; Ogundiran, M. O.; Adesina, O. A.
6
2015
Existence and permanence in a diffusive KiSS model with robust numerical simulations. Zbl 1337.65133
Owolabi, Kolade M.; Patidar, Kailash C.
6
2015
An inverse spectral problem for the matrix Sturm-Liouville operator with a Bessel-type singularity. Zbl 1327.34026
Bondarenko, Natalia
5
2015
Entropy solution for doubly nonlinear elliptic anisotropic problems with Robin boundary conditions. Zbl 1338.35183
Ibrango, I.; Ouaro, S.
4
2015
On the initial-boundary-value problem for the time-fractional diffusion equation on the real positive semiaxis. Zbl 1336.35358
Goos, D.; Reyero, G.; Roscani, S.; Santillan Marcus, E.
3
2015
Power geometry and elliptic expansions of solutions to the Painlevé equations. Zbl 1339.34063
Bruno, Alexander D.
2
2015
On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems. Zbl 1338.34163
Imanbaev, N. S.
2
2015
Dynamical behavior of a system of second-order nonlinear difference equations. Zbl 1381.39009
Bao, Hongmei
2
2015
Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems. Zbl 1341.34022
Shibata, Tetsutaro
2
2015
A stability result for the solutions of a certain system of fourth-order delay differential equation. Zbl 1326.34113
Abou-El-Ela, A. M. A.; Sadek, A. I.; Mahmoud, A. M.; Taie, R. O. A.
2
2015
The rate at which the energy of solutions for a class of \(p\)-Laplacian wave equation decays. Zbl 1329.35213
Mokeddem, Soufiane; Mansour, Khaled Ben Walid
2
2015
Numerical solution of Riccati equations by the Adomian and asymptotic decomposition methods over extended domains. Zbl 1339.34026
Biazar, Jafar; Didgar, Mohsen
1
2015
Solvability of \(N\)th order linear boundary value problems. Zbl 1339.34034
Almenar, P.; Jódar, L.
1
2015
On the second-order shape derivative of the Kohn-Vogelius objective functional using the velocity method. Zbl 1337.49073
Bacani, Jerico B.; Rabago, Julius Fergy T.
1
2015
Solving the telegraph and oscillatory differential equations by a block hybrid trigonometrically fitted algorithm. Zbl 1382.65200
Ngwane, F. F.; Jator, S. N.
1
2015
Optimal control of the ill-posed Cauchy elliptic problem. Zbl 1337.49061
Berhail, A.; Omrane, A.
1
2015
Self-similar blow-up solutions of the KPZ equation. Zbl 1384.34063
Gladkov, Alexander
1
2015
Mixed boundary value problem on hypersurfaces. Zbl 1308.35116
Duduchava, R.; Tsaava, M.; Tsutsunava, T.
9
2014
Resonant problems by quasilinearization. Zbl 1295.34028
Sveikate, Nadezhda
5
2014
Existence results for an impulsive neutral fractional integrodifferential equation with infinite delay. Zbl 1295.34077
Chadha, Alka; Pandey, Dwijendra N.
5
2014
The partial averaging of fuzzy differential inclusions on finite interval. Zbl 1295.34006
Plotnikov, Andrej V.; Komleva, Tatyana A.
4
2014
Multiscale splitting method for the Boltzmann-Poisson equation: application to the dynamics of electrons. Zbl 1320.82063
Geiser, Jürgen
3
2014
Existence of solutions for two-point boundary value problem of fractional differential equations at resonance. Zbl 1306.34008
Hu, Lei; Zhang, Shuqin; Shi, Ailing
2
2014
Multiple positive solutions for a coupled system of \(p\)-Laplacian fractional order two-point boundary value problems. Zbl 1294.34008
Prasad, K. R.; Krushna, B. M. B.
2
2014
Existence of solution via integral inequality of Volterra-Fredholm neutral functional integrodifferential equations with infinite delay. Zbl 1295.34080
Kucche, Kishor D.; Dhakne, Machindra B.
2
2014
On the oscillation of even-order half-linear functional difference equations with damping term. Zbl 1291.39032
Bolat, Yaşar; Alzabut, Jehad
2
2014
An extension of the optimal homotopy asymptotic method to coupled Schrödinger-KdV equation. Zbl 1293.35013
Ullah, Hakeem; Islam, Saeed; Idrees, Muhammad; Fiza, Mehreen; Haq, Zahoor Ul
1
2014
A discrete model for HIV infection with distributed delay. Zbl 1291.92080
El Boukari, Brahim; Hattaf, Khalid; Yousfi, Noura
1
2014
Editorial: Qualitative theory of differential, difference, and dynamic equations. Zbl 1298.00162
Li, Tongxing; Candan, Tuncay; Thandapani, Ethiraju
1
2014
Existence of mild and classical solutions for nonlocal impulsive integrodifferential equations in Banach spaces with measure of noncompactness. Zbl 1295.34079
Karthikeyan, K.; Anguraj, A.; Malar, K.; Trujillo, Juan J.
1
2014
Oscillation criteria for certain even order neutral delay differential equations. Zbl 1295.34069
Al-Hamouri, Ruba; Zein, Ali
1
2014
On some iterative methods with memory and high efficiency index for solving nonlinear equations. Zbl 1293.65077
Eftekhari, Tahereh
1
2014
Oscillation of second-order nonlinear delay dynamic equations with damping on time scales. Zbl 1294.34082
Agwa, H. A.; Khodier, Ahmed M. M.; Hassan, Heba A.
1
2014
Analysis of Caputo impulsive fractional order differential equations with applications. Zbl 1275.34010
Mahto, Lakshman; Abbas, Syed; Favini, Angelo
15
2013
Nonlocal problems for fractional differential equations via resolvent operators. Zbl 1269.34007
Fan, Zhenbin; Mophou, Gisèle
6
2013
Positive periodic solutions of cooperative systems with delays and feedback controls. Zbl 1269.34087
Niyaz, Tursuneli; Muhammadhaji, Ahmadjan
6
2013
A new technique of Laplace variational iteration method for solving space-time fractional telegraph equations. Zbl 1294.35184
Alawad, Fatima A.; Yousif, Eltayeb A.; Arbab, Arbab I.
6
2013
On \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spaces. Zbl 1291.93181
Babuţia, Mihai Gabriel; Megan, Mihail; Popa, Ioan-Lucian
6
2013
On uniform exponential stability and exact admissibility of discrete semigroups. Zbl 1328.39008
Khan, Aftab; Rahmat, Gul; Zada, Akbar
5
2013
Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem. Zbl 1271.35013
Bonzi, B. K.; Ouaro, S.; Zongo, F. D. Y.
4
2013
Behavior of the \(p\)-Laplacian on thin domains. Zbl 1294.35014
Silva, Ricardo P.
4
2013
Picard type iterative scheme with initial iterates in reverse order for a class of nonlinear three point BVPs. Zbl 1295.34019
Singh, Mandeep; Verma, Amit K.
4
2013
...and 121 more Documents
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Cited by 1,515 Authors

17 Băleanu, Dumitru I.
14 Ntouyas, Sotiris K.
13 Agarwal, Ravi P.
10 Ahmad, Bashir
10 Atangana, Abdon
10 Daftardar-Gejji, Varsha
10 O’Regan, Donal
10 Tariboon, Jessada
9 Bhalekar, Sachin
9 Khristova, Snezhana G.
8 Pagnini, Gianni
8 Pandey, Dwijendra Narain
8 Vitolo, Antonio
7 Duduchava, Roland
7 Hattaf, Khalid
7 Kiliçman, Adem
7 Liu, Yuji
7 Shah, Kamal
7 Yousfi, Noura
6 Machado, José António Tenreiro
6 Owolabi, Kolade Matthew
6 Tarzia, Domingo Alberto
6 Zhai, Chengbo
5 Abbas, Syed
5 Ademola, Adeleke Timothy
5 Al-saedi, Ahmed Eid Salem
5 Avazzadeh, Zakieh
5 de Oliveira, Edmundo Capelas
5 Dabas, Jaydev
5 Giorgi, Claudio
5 Heydari, Mohammadhossein
5 Inc, Mustafa
5 Jafari, Hossein
5 Ma, Qiaozhen
5 Moghaddam, Behrouz Parsa
5 Nieto Roig, Juan Jose
5 Saoudi, Kamel
5 Xu, Jiafa
4 Abdeljawad, Thabet
4 Arif, Muhammad
4 Cahoy, Dexter O.
4 Chadha, Alka
4 da Silva, José Luís
4 Graef, John R.
4 Kamocki, Rafal
4 Karakoç, Seydi Battal Gazi
4 Khan, Rahmat Ali
4 Li, Tongxing
4 Liu, Fawang
4 Liu, Lishan
4 Megan, Mihail
4 Ouaro, Stanislas
4 Rezapour, Shahram
4 Saxena, Ram Kishore
4 Singh, Brajesh Kumar
4 Singh, Mandeep
4 Sitthiwirattham, Thanin
4 Tajadodi, Haleh
4 Taranets, Roman M.
4 Thandapani, Ethiraju
4 Transirico, Maria
4 Turner, Ian William
4 Vuk, Elena
4 Wang, Guotao
4 Zada, Akbar
4 Zhang, Lihong
3 Adesina, Olufemi Adeyinka
3 Alam Khan, Najeeb
3 Anh, Vo V.
3 Aouadi, Moncef
3 Atifi, Khalid
3 Babuţia, Mihai Gabriel
3 Balasubramaniam, Pagavathigounder
3 Bochicchio, Ivana
3 Bondarenko, Natalia P.
3 Boukrouche, Mahdi
3 Cui, Yujun
3 Darus, Maslina
3 Di Gironimo, Patrizia
3 D’Ovidio, Mirko
3 Drábek, Pavel
3 El Abidine, Zagharide Zine
3 Gautam, Ganga Ram
3 Geiser, Jürgen
3 Han, Zhongjie
3 Hasil, Petr
3 Heydari, Mohammad Hossien
3 Ibrango, Idrissa
3 Imanbaev, Nurlan Sayramovich
3 Islomov, Bozor Islomovich
3 Jator, Samuel N.
3 Jhinga, Aman
3 Jiang, Jiqiang
3 Kefi, Khaled
3 Khan, Nadeem Alam
3 Kucche, Kishor D.
3 Li, Yongjin
3 Liu, Hongliang
3 Liu, Yiliang
3 Macías-Díaz, Jorge Eduardo
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Cited in 258 Journals

47 Abstract and Applied Analysis
44 Advances in Difference Equations
33 Applied Mathematics and Computation
32 International Journal of Differential Equations
29 Fractional Calculus & Applied Analysis
21 Mathematical Problems in Engineering
18 Journal of Applied Mathematics and Computing
17 Nonlinear Dynamics
16 Computational and Applied Mathematics
15 Journal of Computational and Applied Mathematics
14 Journal of Mathematical Analysis and Applications
14 Mathematical Methods in the Applied Sciences
14 Boundary Value Problems
14 International Journal of Applied and Computational Mathematics
13 Chaos, Solitons and Fractals
13 Discrete Dynamics in Nature and Society
12 Computers & Mathematics with Applications
12 Mediterranean Journal of Mathematics
10 Journal of Function Spaces
9 Journal of Mathematical Physics
9 Communications in Nonlinear Science and Numerical Simulation
8 Applied Numerical Mathematics
8 Journal of Scientific Computing
8 Journal of Applied Mathematics
6 Journal of Computational Physics
6 International Journal of Mathematics and Mathematical Sciences
6 Journal of Differential Equations
6 Complexity
6 Journal of Mathematical Chemistry
6 Differentsial’nye Uravneniya i Protsessy Upravleniya
6 Asian-European Journal of Mathematics
6 Afrika Matematika
6 Mathematical Sciences
6 Fractional Differential Calculus
6 Journal of Mathematics
5 Applicable Analysis
5 Journal of the Franklin Institute
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Chaos
5 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
5 Journal of Nonlinear Science and Applications
4 Ukrainian Mathematical Journal
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Results in Mathematics
4 Applied Mathematics Letters
4 Journal of Mathematical Sciences (New York)
4 Georgian Mathematical Journal
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Nonlinear Analysis. Modelling and Control
4 Discrete and Continuous Dynamical Systems. Series B
4 Discrete and Continuous Dynamical Systems. Series S
4 Advances in Mathematical Physics
4 Axioms
4 Advances in Nonlinear Analysis
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4 Open Mathematics
3 Meccanica
3 Monatshefte für Mathematik
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3 Circuits, Systems, and Signal Processing
3 Communications in Statistics. Theory and Methods
3 Topological Methods in Nonlinear Analysis
3 Bulletin des Sciences Mathématiques
3 Opuscula Mathematica
3 Differential Equations and Dynamical Systems
3 Journal of Inequalities and Applications
3 Nonlinear Analysis. Real World Applications
3 Mathematical Modelling and Analysis
3 Mathematical Biosciences and Engineering
3 Complex Variables and Elliptic Equations
3 Mathematical Modelling of Natural Phenomena
3 S\(\vec{\text{e}}\)MA Journal
3 Mathematics
3 Chinese Journal of Mathematics
3 Transactions of A. Razmadze Mathematical Institute
3 Korean Journal of Mathematics
2 International Journal of Control
2 Journal of Fluid Mechanics
2 Physica A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 BIT
2 Journal of Functional Analysis
2 Journal of Optimization Theory and Applications
2 Mathematische Annalen
2 Mathematics and Computers in Simulation
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Systems & Control Letters
2 Chinese Annals of Mathematics. Series B
2 Journal of Integral Equations and Applications
2 Neural Computation
2 Applications of Mathematics
2 Numerical Algorithms
2 Computational Mathematics and Mathematical Physics
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Applied Mathematical Modelling
2 Automation and Remote Control
2 Applicationes Mathematicae
2 Electronic Journal of Differential Equations (EJDE)
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Journal of the Egyptian Mathematical Society
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Cited in 44 Fields

426 Ordinary differential equations (34-XX)
306 Partial differential equations (35-XX)
204 Numerical analysis (65-XX)
145 Real functions (26-XX)
114 Operator theory (47-XX)
83 Biology and other natural sciences (92-XX)
63 Integral equations (45-XX)
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43 Calculus of variations and optimal control; optimization (49-XX)
41 Difference and functional equations (39-XX)
37 Probability theory and stochastic processes (60-XX)
36 Special functions (33-XX)
35 Fluid mechanics (76-XX)
31 Dynamical systems and ergodic theory (37-XX)
29 Mechanics of deformable solids (74-XX)
17 Classical thermodynamics, heat transfer (80-XX)
15 Integral transforms, operational calculus (44-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
8 Functional analysis (46-XX)
7 Functions of a complex variable (30-XX)
7 Computer science (68-XX)
7 Statistical mechanics, structure of matter (82-XX)
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5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Information and communication theory, circuits (94-XX)
4 Approximations and expansions (41-XX)
4 Differential geometry (53-XX)
4 General topology (54-XX)
4 Quantum theory (81-XX)
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