162 citations · 193 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Derivative with two fractional orders: New door of investigation toward revolution in fractional calculus
Abdon Atangana
In order to describe more complex problem using the concept of fractional derivatives, we introduce in this paper the concept of fractional derivatives with orders. The new definit…
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana, Dumitru Baleanu
In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve…