On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

By Ahmed Alsaedi, Dumitru Băleanu, Sina Etemad, Sh. Rezapour. 2016

114 citations recorded by the source corpus.

The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact- and convex-valued -Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/1a47e20925f9d992c3d6e835f66e7a88015896ec

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In Applied Mathematics

In Modeling and Simulation

Citations in the corpus

Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, unknown): “y(5) = 9 5  13 11 0+y (2) + 11 39  22 17 0+y (3) + 14 3  25 0+y (4) , (73) which is the nonlocal BVP for implicit FDEs involving Riemann–Liouville fractional derivative.”
Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivative (2016, background): “The Caputo-Fabrizio time-fractional derivative immediately attracted the interest of the researchers and for about a year after the seminal publication [1] numerous applications have been reported, among them: elasticity [4], resistance and numerical modelling of fractional electric circuit [5, 6], ”
On a coupled Caputo conformable system of pantograph problems (2021, background): “Some flexible properties of the Caputo–Fabrizio integroderivative operators led to publish research papers on the different fractional modelings in this subject (see for instance, [7, 9, 21, 23, 25, 47]).”
Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments (2020, background): “Recently, Caputo and Fabrizio [12] and Atangana and Baleanu [7] proposed some interesting fractional-order derivatives based upon the exponential decay law which is a generalized power-law function (see [1, 3, 4, 5, 6, 8]).”