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Threshold Results for the Existence of Global and Blow-Up Solutions to a Time Fractional Diffusion System with a Nonlinear Memory Term in a Bounded Domain
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An efficient technique based on cubic B-spline functions for solving time-fractional advection diffusion equation involving Atangana–Baleanu derivative
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On $ \psi $-Hilfer generalized proportional fractional operators
Methods of Mathematical Modelling and Computation for Complex Systems
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Numerical solutions of advection diffusion equations involving Atangana–Baleanu time fractional derivative via cubic B-spline approximations
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Dynamics of Middle East Respiratory Syndrome Coronavirus (MERS-CoV) involving fractional derivative with Mittag-Leffler kernel
Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems
Kolade M. Owolabi, Abdon Atangana and Jose Francisco Gómez-Aguilar Discrete & Continuous Dynamical Systems - S 14(7) 2455 (2021) https://doi.org/10.3934/dcdss.2021060
Analysis and simulation of herd behaviour dynamics based on derivative with nonlocal and nonsingular kernel
Fractional dynamics and synchronization of Kuramoto oscillators with nonlocal, nonsingular and strong memory
A. Coronel-Escamilla, J.E. Lavín-Delgado, J.F. Gómez-Aguilar and L. Torres Alexandria Engineering Journal 59(4) 1941 (2020) https://doi.org/10.1016/j.aej.2019.12.015
A new Lyapunov stability analysis of fractional-order systems with nonsingular kernel derivative
Soheil Salahshour, Ali Ahmadian, Mehdi Salimi, Bruno Antonio Pansera and Massimiliano Ferrara Alexandria Engineering Journal 59(5) 2985 (2020) https://doi.org/10.1016/j.aej.2020.03.040
Certain new weighted estimates proposing generalized proportional fractional operator in another sense
Thabet Abdeljawad, Saima Rashid, A. A. El-Deeb, Zakia Hammouch and Yu-Ming Chu Advances in Difference Equations 2020(1) (2020) https://doi.org/10.1186/s13662-020-02935-z
Mathematical Modelling in Health, Social and Applied Sciences
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Battery state-of-charge estimation using fractional extended Kalman filter with Mittag-Leffler memory
On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems
Kolade M. Owolabi and Abdon Atangana Chaos: An Interdisciplinary Journal of Nonlinear Science 29(2) (2019) https://doi.org/10.1063/1.5085490
Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: A fractional calculus approach
V.F. Morales-Delgado, J.F. Gómez-Aguilar, Khaled M. Saad, Muhammad Altaf Khan and P. Agarwal Physica A: Statistical Mechanics and its Applications 523 48 (2019) https://doi.org/10.1016/j.physa.2019.02.018
Mathematical modelling and analysis of love dynamics: A fractional approach
Fractional Kuramoto–Sivashinsky equation with power law and stretched Mittag-Leffler kernel
M.A. Taneco-Hernández, V.F. Morales-Delgado and J.F. Gómez-Aguilar Physica A: Statistical Mechanics and its Applications 527 121085 (2019) https://doi.org/10.1016/j.physa.2019.121085
On Cauchy problem for nonlinear fractional differential equation with random discrete data
Nguyen Duc Phuong, Nguyen Huy Tuan, Dumitru Baleanu and Tran Bao Ngoc Applied Mathematics and Computation 362 124458 (2019) https://doi.org/10.1016/j.amc.2019.05.029
New predictor‐corrector scheme for solving nonlinear differential equations with Caputo‐Fabrizio operator
Yoke Teng Toh, Chang Phang and Jian Rong Loh Mathematical Methods in the Applied Sciences 42(1) 175 (2019) https://doi.org/10.1002/mma.5331
Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative
S. Salahshour, A. Ahmadian, M. Salimi, M. Ferrara and D. Baleanu Chaos: An Interdisciplinary Journal of Nonlinear Science 29(8) (2019) https://doi.org/10.1063/1.5096022
On a more general fractional integration by parts formulae and applications
Thabet Abdeljawad, Abdon Atangana, J.F. Gómez-Aguilar and Fahd Jarad Physica A: Statistical Mechanics and its Applications 536 122494 (2019) https://doi.org/10.1016/j.physa.2019.122494
A comparison study of bank data in fractional calculus