Journal of Fractional Calculus and Applications

 Short Title: J. Fract. Calc. Appl. Publisher: Fractional Calculus and Applications Group, Faculty of science, Alexandria University, Alexandrai ISSN: 2090-584X; 2090-5858/e Online: http://math-frac.org/Journals/JFCA/Published_Issues.php Comments: Indexed cover-to-cover; This journal is available open access.
 Documents Indexed: 418 Publications (since 2011)
all top 5

Latest Issues

 13, No. 1 (2022) 12, No. 3 (2021) 12, No. 2 (2021) 12, No. 1 (2021) 11, No. 2 (2020) 11, No. 1 (2020) 10, No. 2 (2019) 10, No. 1 (2019) 9, No. 2 (2018) 9, No. 1 (2018) 8, No. 2 (2017) 8, No. 1 (2017) 7, No. 2 (2016) 7, No. 1 (2016) 6, No. 2 (2015) 6, No. 1 (2015) 5, No. 2 (2014) 5, No. 1 (2014) 4, No. 2 (2013) 4, No. 1 (2013) 3 (2012) 2 (2012) 1 (2011)
all top 5

Authors

 12 El-Sayed, Ahmed Mohamed Ahmed 8 Biswas, Tanmay 7 Mostafa, Adela Osman 7 Sweilam, Nasser Hassan 6 Benchohra, Mouffak 6 Ntouyas, Sotiris K. 5 Aouf, Mohamed Kamal 5 El-Ashwah, Rabha Mohamed 5 Hu, Lei 5 Ibrahim, Rabha Waell 5 Khan, Rahmat Ali 5 Kumar Datta, Sanjib 5 Zhang, Shuqin 4 Agarwal, Praveen 4 Agarwal, Ravi P. 4 Arafa, Anas. A. M. 4 Bansal, Deepak 4 Cao, Jian 4 Chouhan, Amit 4 Darwish, Hanan Elsayed 4 Ghanbari, Kazem 4 Gholami, Yousef 4 Kashuri, Artion 4 Khan, Arif M. 4 Lashin, A. Y. 4 Mishra, Lakshmi Narayan 4 Pandey, Dwijendra Narain 4 Reddy, Pinninti Thirupathi 4 Rida, Saad Zagloul 4 Venkateswarlu, Bollineni 3 Abbas, Said 3 Ahmed, Elsayed 3 Assiri, Taghreed Abdul Rahman 3 Burton, Theodore Allen 3 Cernea, Aurelian 3 Damarla, Seshu Kumar 3 Dhage, Shyam B. 3 El-Saka, Hala A. A. 3 Hashem, Hind H. G. 3 Henderson, Johnny Lee 3 Ingle, Rajkumar N. 3 Jahangiri, Jay M. 3 Khader, Mohamed M. 3 Khan, Hasib 3 Khan, Nabiullah U. 3 Kota, Wafaa Y. 3 Kundu, Madhusree 3 Kurt, Ali 3 Latif, Muhammad Amer 3 Liko, Rozana 3 Liu, Yanqin 3 Mubeen, Shahid 3 Nagy, Abdelhameed M. 3 Olatunji, Sunday Oluwafemi 3 Pachpatte, Deepak B. 3 Prajapati, Jyotindra C. 3 Sene, Ndolane 3 Singh, Gagandeep 3 Singh, Gurcharanjit 3 Sokół, Janusz 3 Suthar, Daya Lal 3 Syam, Muhammed I. 2 Abubakar, U. M. 2 Agarwal, Ritu 2 Ahmed, E. M. 2 Ahmed, Hoda F. 2 Al-Quhali, F. Y. 2 Alnayyef, A. N. 2 Anastassiou, George Angelos 2 Anguraj, Annamalai 2 Ardjouni, Abdelouaheb 2 Arjika, Sama 2 Awolere, Ibrahim Tunji 2 Ayati, Zainab 2 Beddani, Moustafa 2 Benmezaï, Abdelhamid 2 Biazar, Jafar 2 Bin-Taher, Ebtisam O. 2 Bora, Swaroop Nandan 2 Darzi, Rahmat 2 Das, Sanjukta 2 Dimitrov, Yuri 2 Djoudi, Ahcene 2 El-Beltagy, Mohamed A. 2 El-Metwally, Hamdy A. 2 Elmahdy, Atef Ibrahim 2 Elsaid, Ahmed 2 Farid, Ghulam 2 Frasin, Basem Aref 2 Gaber, Y. A. 2 Gehlot, Kuldeep Singh 2 Gill, Vinod 2 Guswanto, Bambang Hendriya 2 Haloi, Rajib 2 Harikrishnan, Sugumaran 2 Hedia, Benaouda 2 Herzallah, Mohamed A. E. 2 Ilie, Mousa 2 Irmak, Huseyin 2 Isife, Kenneth Ifeanyi ...and 469 more Authors
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Fields

 181 Ordinary differential equations (34-XX) 164 Real functions (26-XX) 82 Functions of a complex variable (30-XX) 72 Special functions (33-XX) 70 Partial differential equations (35-XX) 31 Numerical analysis (65-XX) 24 Operator theory (47-XX) 23 Integral equations (45-XX) 18 Biology and other natural sciences (92-XX) 15 Difference and functional equations (39-XX) 12 Integral transforms, operational calculus (44-XX) 11 Combinatorics (05-XX) 11 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Systems theory; control (93-XX) 7 Number theory (11-XX) 7 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of particles and systems (70-XX) 5 Approximations and expansions (41-XX) 4 Quantum theory (81-XX) 4 Mathematics education (97-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

50 Publications have been cited 87 times in 80 Documents Cited by Year
A generalization of Mittag-Leffler function and integral operator associated with fractional calculus. Zbl 07441407
Salim, Tariq O.; Faraj, Ahmad W.
2012
A predictor-corrector scheme for solving nonlinear delay differential equations of fractional order. Zbl 07441387
Bhalekar, Sachin; Daftardar-Gejji, Varsha
2011
On the nature of the conformable derivative and its applications to physics. Zbl 07449840
Anderson, Douglas R.; Camrud, Evan; Ulness, Darin J.
2019
A treatment of the Hadamard inequality due to $$m$$-convexity via generalized fractional integrals. Zbl 07449763
Farid, Ghulam
2018
A second order approximation for the Caputo fractional derivative. Zbl 07447836
Dimitrov, Yuri
2016
Existence of mild solutions of nonlinear boundary value problems of coupled hybrid fractional integrodifferential equations. Zbl 1476.34161
Dhage, Bapurao C.; Dhage, Shyam B.; Buvaneswari, K.
2019
Crank-Nicolson finite difference method for solving time-fractional diffusion equation. Zbl 07441394
Sweilam, N. H.; Khader, M. M.; Mahdy, A. M. S.
2012
Efficient spectral collocation method for solving multi-term fractional differential equations based on the generalized Laguerre polynomials. Zbl 07441415
Khader, M. M.; El Danaf, Talaat S.; Hendy, A. S.
2012
Fractional calculus of generalized $$k$$-Wright function. Zbl 07441443
Gehlot, Kuldeep Singh; Prajapati, Jyotindra C.
2013
Sufficient conditions for the oscillation of nonlinear fractional difference equations. Zbl 07444530
2014
On existence of solutions for fractional differential equation with $$p$$-Laplacian operator. Zbl 07444537
Khan, Rahmat Ali; Khan, Aziz; Samad, Abdul; Khan, Hasib
2014
Fixed points classification of nonlinear fractional differential equations as a dynamical system. Zbl 07444541
Keshtkar, F.; Kheiri, H.; Erjaee, G. H.
2014
On the properties of solution operators of fractional evolution equations. Zbl 07446510
Guswanto, Bambang Hendriya
2015
Approximate solutions to initial value problem for differential equation of variable order. Zbl 07449789
Zhang, Shuqin; Sun, Sujing; Hu, Lei
2018
On Hadamard $$k$$-fractional integrals. Zbl 07449801
Iqbal, Sana; Mubeen, Shahid; Tomar, Muharrem
2018
The effect of fractional order on synchronization of two fractional order chaotic and hyperchaotic systems. Zbl 07441385
Hegazi, A. S.; Ahmed, E.; Matouk, A. E.
2011
Existence results for initial value problems with integral condition for impulsive fractional differential equations. Zbl 07441399
Chang, Yong-Kui; Anguraj, A.; Karthikeyan, P.
2012
Analytical solution of fractional Black-Scholes European option pricing equation by using Laplace transform. Zbl 07441400
Kumar, Sunil; Yildirim, A.; Khan, Y.; Jafari, H.; Sayevand, K.; Wei, L.
2012
Stability analysis of the fractional-order $$RL_\beta C_\alpha$$ circuit. Zbl 07441403
2012
On the fractional-order memristor model. Zbl 07441417
Fouda, M. E.; Radwan, A. G.
2013
On a discretization process of fractional order Riccati differential equation. Zbl 07441440
El-Sayed, Ahmed M. A.; Salman, Sanaa Moussa
2013
Alternative derivation of generalized fractional kinetic equations. Zbl 07441447
Saxena, R. K.; Ram, J.; Kumar, D.
2013
Explicit representation of Green’s function for linear fractional differential operator with variable coefficients. Zbl 07444516
Kim, Myong-Ha; O, Hyong-Chol
2014
An approximate solution to some classes of fractional nonlinear partial differential-difference equation using Adomian decomposition method. Zbl 07444517
2014
Exact solutions of time fractional Kolmogorov equation by using Lie symmetry analysis. Zbl 07444522
Ouhadan, A.; El Kinani, E. H.
2014
Linear space-time fractional reaction-diffusion equation with composite fractional derivative in time. Zbl 07444524
Garg, Mridula; Sharma, Ajay; Manohar, Pratibha
2014
Coefficient bound for a new class of analytic and bi-univalent functions. Zbl 07444525
Bansal, Deepak; Sok’ol, Janusz
2014
Zalcman conjecture for some subclass of analytic functions. Zbl 07449418
Bansal, Deepak; Sokol, Janusz
2017
Stability and a numerical solution of fractional-order Brusselator chemical reaction system. Zbl 07449422
Yuan, Li-Guo; Kuang, Ju-Hong
2017
On a fractional order study of middle east respiratory syndrome corona virus (mers-cov). Zbl 07449429
Ahmed, E. M.; El-Saka, H. A.
2017
A survey on existence results of some differential and integral equations in abstract spaces. Zbl 07449430
Hashem, H. H. G.; Khouni, Y.
2017
On a boundary value problem at resonance on the half line. Zbl 07449432
Guezane-Lakoud, A.; Khaldi, R.
2017
Existence of positive solutions to a periodic boundary value problems for nonlinear fractional differential equations at resonance. Zbl 07449436
Hu, Lei; Zhang, Shuqin
2017
A comprehensive class of analytic bi-univalent functions by means of Chebyshev polynomials. Zbl 07449437
Bullut, Serap; Magesh, Nanjundan; Abirami, Chinnaswamy
2017
Existence of solutions for Hadamard fractional hybrid differential equations with impulsive and nonlocal conditions. Zbl 07449780
Karthikeyan, P.; Arul, R.
2018
Existence of solution for perturbed fractional Hamiltonian systems. Zbl 07446503
Torres, C.
2015
Solution of the fractional epidemic model by L-ADM. Zbl 07447821
Rida, S. Z.; Arafa, A. A. M.; Gaber, Y. A.
2016
Generalizations of some Hermite-Hadamard-Fejér type inequalities for $$p$$-convex functions via generalized fractional integrals. Zbl 07449787
Farid, G.; Abbas, G.
2018
On certain subclass of analytic functions associated with Gegenbauer polynomials. Zbl 07449791
Olatunji, S. O.; Gbolagade, A. M.
2018
New numerical approach for solving fractional differential-algebraic equations. Zbl 07449793
Ahmed, Hoda F.; Melad, Marina B.
2018
Initial value problems for Caputo fractional differential equations. Zbl 07449795
Eloe, Paul W.; Masthay, Tyler
2018
Fractional integral inequalities of Hadamard-type for $$m$$-convex functions via Caputo $$k$$-fractional derivatives. Zbl 07449821
Farid, G.; Javed, A.; Rehman, A. U.
2019
Numerical solution of fractional order immunology and AIDS model via Laplace transform Adomian decomposition method. Zbl 1480.92043
Ali, Amjad; Erturk, Vedat Suat; Zeb, Anwar; Khan, Rahmat Ali
2019
Existence of mild solutions for non-periodic coupled fractional differential equations. Zbl 07458911
Matar, Mohammed M.; Amra, Iman E. Abo
2020
New travelling wave solutions for time-space fractional equations arising in nonlinear optics. Zbl 07458919
Kurt, Ali; Atilgan, Emrah; Senol, Mehmet; Tasbozan, Orkun; Baleanu, Dimitru
2020
New solutions for conformable fractional partial differential equations using first integral method. Zbl 07458920
Karatas, Tulin; Tasbozan, Orkun; Kurt, Ali
2020
Study of a fractional-order model for HIV infection of CD4$$^+$$ T-cells with treatment. Zbl 07458928
Ferrari, A. J.; Marcus, E. A. Santillan
2020
Fractional analogue of the Lyapunov inequality in conformable sense. Zbl 07458929
2020
Existence and uniqueness of mild solutions of boundary value problems for Caputo-Hadamard fractional differential equations with integral and anti-periodic conditions. Zbl 07458974
Lachouri, Adel; Ardjouni, Abdelouaheb; Djoudi, Ahcene
2021
Some results on generalized relative order $$(\alpha,\beta)$$ and generalized relative type $$(\alpha,\beta)$$ of meromorphic functions with respect to entire functions. Zbl 07459028
Biswas, Tanmay; Biswas, Chinmay
2022
Some results on generalized relative order $$(\alpha,\beta)$$ and generalized relative type $$(\alpha,\beta)$$ of meromorphic functions with respect to entire functions. Zbl 07459028
Biswas, Tanmay; Biswas, Chinmay
2022
Existence and uniqueness of mild solutions of boundary value problems for Caputo-Hadamard fractional differential equations with integral and anti-periodic conditions. Zbl 07458974
Lachouri, Adel; Ardjouni, Abdelouaheb; Djoudi, Ahcene
2021
Existence of mild solutions for non-periodic coupled fractional differential equations. Zbl 07458911
Matar, Mohammed M.; Amra, Iman E. Abo
2020
New travelling wave solutions for time-space fractional equations arising in nonlinear optics. Zbl 07458919
Kurt, Ali; Atilgan, Emrah; Senol, Mehmet; Tasbozan, Orkun; Baleanu, Dimitru
2020
New solutions for conformable fractional partial differential equations using first integral method. Zbl 07458920
Karatas, Tulin; Tasbozan, Orkun; Kurt, Ali
2020
Study of a fractional-order model for HIV infection of CD4$$^+$$ T-cells with treatment. Zbl 07458928
Ferrari, A. J.; Marcus, E. A. Santillan
2020
Fractional analogue of the Lyapunov inequality in conformable sense. Zbl 07458929
2020
On the nature of the conformable derivative and its applications to physics. Zbl 07449840
Anderson, Douglas R.; Camrud, Evan; Ulness, Darin J.
2019
Existence of mild solutions of nonlinear boundary value problems of coupled hybrid fractional integrodifferential equations. Zbl 1476.34161
Dhage, Bapurao C.; Dhage, Shyam B.; Buvaneswari, K.
2019
Fractional integral inequalities of Hadamard-type for $$m$$-convex functions via Caputo $$k$$-fractional derivatives. Zbl 07449821
Farid, G.; Javed, A.; Rehman, A. U.
2019
Numerical solution of fractional order immunology and AIDS model via Laplace transform Adomian decomposition method. Zbl 1480.92043
Ali, Amjad; Erturk, Vedat Suat; Zeb, Anwar; Khan, Rahmat Ali
2019
A treatment of the Hadamard inequality due to $$m$$-convexity via generalized fractional integrals. Zbl 07449763
Farid, Ghulam
2018
Approximate solutions to initial value problem for differential equation of variable order. Zbl 07449789
Zhang, Shuqin; Sun, Sujing; Hu, Lei
2018
On Hadamard $$k$$-fractional integrals. Zbl 07449801
Iqbal, Sana; Mubeen, Shahid; Tomar, Muharrem
2018
Existence of solutions for Hadamard fractional hybrid differential equations with impulsive and nonlocal conditions. Zbl 07449780
Karthikeyan, P.; Arul, R.
2018
Generalizations of some Hermite-Hadamard-Fejér type inequalities for $$p$$-convex functions via generalized fractional integrals. Zbl 07449787
Farid, G.; Abbas, G.
2018
On certain subclass of analytic functions associated with Gegenbauer polynomials. Zbl 07449791
Olatunji, S. O.; Gbolagade, A. M.
2018
New numerical approach for solving fractional differential-algebraic equations. Zbl 07449793
Ahmed, Hoda F.; Melad, Marina B.
2018
Initial value problems for Caputo fractional differential equations. Zbl 07449795
Eloe, Paul W.; Masthay, Tyler
2018
Zalcman conjecture for some subclass of analytic functions. Zbl 07449418
Bansal, Deepak; Sokol, Janusz
2017
Stability and a numerical solution of fractional-order Brusselator chemical reaction system. Zbl 07449422
Yuan, Li-Guo; Kuang, Ju-Hong
2017
On a fractional order study of middle east respiratory syndrome corona virus (mers-cov). Zbl 07449429
Ahmed, E. M.; El-Saka, H. A.
2017
A survey on existence results of some differential and integral equations in abstract spaces. Zbl 07449430
Hashem, H. H. G.; Khouni, Y.
2017
On a boundary value problem at resonance on the half line. Zbl 07449432
Guezane-Lakoud, A.; Khaldi, R.
2017
Existence of positive solutions to a periodic boundary value problems for nonlinear fractional differential equations at resonance. Zbl 07449436
Hu, Lei; Zhang, Shuqin
2017
A comprehensive class of analytic bi-univalent functions by means of Chebyshev polynomials. Zbl 07449437
Bullut, Serap; Magesh, Nanjundan; Abirami, Chinnaswamy
2017
A second order approximation for the Caputo fractional derivative. Zbl 07447836
Dimitrov, Yuri
2016
Solution of the fractional epidemic model by L-ADM. Zbl 07447821
Rida, S. Z.; Arafa, A. A. M.; Gaber, Y. A.
2016
On the properties of solution operators of fractional evolution equations. Zbl 07446510
Guswanto, Bambang Hendriya
2015
Existence of solution for perturbed fractional Hamiltonian systems. Zbl 07446503
Torres, C.
2015
Sufficient conditions for the oscillation of nonlinear fractional difference equations. Zbl 07444530
2014
On existence of solutions for fractional differential equation with $$p$$-Laplacian operator. Zbl 07444537
Khan, Rahmat Ali; Khan, Aziz; Samad, Abdul; Khan, Hasib
2014
Fixed points classification of nonlinear fractional differential equations as a dynamical system. Zbl 07444541
Keshtkar, F.; Kheiri, H.; Erjaee, G. H.
2014
Explicit representation of Green’s function for linear fractional differential operator with variable coefficients. Zbl 07444516
Kim, Myong-Ha; O, Hyong-Chol
2014
An approximate solution to some classes of fractional nonlinear partial differential-difference equation using Adomian decomposition method. Zbl 07444517
2014
Exact solutions of time fractional Kolmogorov equation by using Lie symmetry analysis. Zbl 07444522
Ouhadan, A.; El Kinani, E. H.
2014
Linear space-time fractional reaction-diffusion equation with composite fractional derivative in time. Zbl 07444524
Garg, Mridula; Sharma, Ajay; Manohar, Pratibha
2014
Coefficient bound for a new class of analytic and bi-univalent functions. Zbl 07444525
Bansal, Deepak; Sok&rsquo;ol, Janusz
2014
Fractional calculus of generalized $$k$$-Wright function. Zbl 07441443
Gehlot, Kuldeep Singh; Prajapati, Jyotindra C.
2013
On the fractional-order memristor model. Zbl 07441417
Fouda, M. E.; Radwan, A. G.
2013
On a discretization process of fractional order Riccati differential equation. Zbl 07441440
El-Sayed, Ahmed M. A.; Salman, Sanaa Moussa
2013
Alternative derivation of generalized fractional kinetic equations. Zbl 07441447
Saxena, R. K.; Ram, J.; Kumar, D.
2013
A generalization of Mittag-Leffler function and integral operator associated with fractional calculus. Zbl 07441407
Salim, Tariq O.; Faraj, Ahmad W.
2012
Crank-Nicolson finite difference method for solving time-fractional diffusion equation. Zbl 07441394
Sweilam, N. H.; Khader, M. M.; Mahdy, A. M. S.
2012
Efficient spectral collocation method for solving multi-term fractional differential equations based on the generalized Laguerre polynomials. Zbl 07441415
Khader, M. M.; El Danaf, Talaat S.; Hendy, A. S.
2012
Existence results for initial value problems with integral condition for impulsive fractional differential equations. Zbl 07441399
Chang, Yong-Kui; Anguraj, A.; Karthikeyan, P.
2012
Analytical solution of fractional Black-Scholes European option pricing equation by using Laplace transform. Zbl 07441400
Kumar, Sunil; Yildirim, A.; Khan, Y.; Jafari, H.; Sayevand, K.; Wei, L.
2012
Stability analysis of the fractional-order $$RL_\beta C_\alpha$$ circuit. Zbl 07441403
2012
A predictor-corrector scheme for solving nonlinear delay differential equations of fractional order. Zbl 07441387
Bhalekar, Sachin; Daftardar-Gejji, Varsha
2011
The effect of fractional order on synchronization of two fractional order chaotic and hyperchaotic systems. Zbl 07441385
Hegazi, A. S.; Ahmed, E.; Matouk, A. E.
2011
all top 5

Cited by 220 Authors

 18 AIMS Mathematics 8 Boundary Value Problems 6 Fractals 5 International Journal of Computer Mathematics 4 Journal of Function Spaces 3 Tatra Mountains Mathematical Publications 2 Journal of the Franklin Institute 2 Physica A 2 Journal of Inequalities and Applications 2 Fixed Point Theory 2 Afrika Matematika 1 Integral Equations and Operator Theory 1 Mathematics and Computers in Simulation 1 Tamkang Journal of Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Differential Equations 1 Integral Transforms and Special Functions 1 Novi Sad Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Nonlinear Analysis. Modelling and Control 1 Nonlinear Functional Analysis and Applications 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of Mathematical Inequalities 1 Advances in Differential Equations and Control Processes 1 Advances in Applied Mathematics and Mechanics 1 Journal of Mathematical Extension 1 S$$\vec{\text{e}}$$MA Journal 1 Evolution Equations and Control Theory 1 Iranian Journal of Numerical Analysis and Optimization 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 1 Communications on Applied Mathematics and Computation