16 citations · 23 across the 4 of their papers we have counts for
4 papers
Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel
J. D Djida, A. Atangana, I. Area
We prove Hölder regularity results for a class of nonlinear parabolic problem with fractional-time derivative with nonlocal and Mittag-Leffler nonsingular kernel. Existence of weak…
New numerical scheme of Atangana-Baleanu fractional integral: an application to groundwater flow within leaky aquifer
J. D. Djida, I. Area, A. Atangana
Many physical problems can be described using the integral equations known as Volterra equations. There exists quite a number of analytical methods that can handle these equations…
More generalized groundwater model with space-time Caputo Fabrizio fractional differentiation
J-D Djida, A. Atangana
We prove existence and uniqueness of the flow of water within a confined aquifer with fractional diffusion in space and fractional time derivative in the sense of Caputo-Fabrizio.…
Numerical computation of a fractional derivative with non-local and non-singular kernel
J. D. Djida, I. Area, A. Atangana
A numerical scheme for solving fractional initial value problems involving the Atangana-Baleanu fractional derivative is presented. Some examples for the proposed method are includ…