3 citations · 3 across the 1 of their papers we have counts for
5 papers
On fractional calculus with analytic kernels with respect to functions
Christian Maxime Steve Oumarou, Hafiz Muhammad Fahad, Jean-Daniel Djida +1
Many different types of fractional calculus have been proposed, which can be organised into some general classes of operators. For a unified mathematical theory, results should be…
Fractional differential relations for the Lerch zeta function
Arran Fernandez, Jean-Daniel Djida
Starting from a recent result expressing the Lerch zeta function as a fractional derivative, we consider further fractional derivatives of the Lerch zeta function with respect to d…
Optimal control of diffusion equation with missing data governed by Dirichlet fractional Laplacian
J-D. Djida, P. F. Soh, G. Mophou
We consider an optimal control problem of diffusion equation with missing data governed by the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbitrary i…
Nonlocal time porous medium equation with fractional time derivative
Jean-Daniel Djida, Juan J. Nieto, Iván Area
We consider nonlinear nonlocal diffusive evolution equations, governed by fractional Laplace-type operators, fractional time derivative and involving porous medium type nonlinearit…
Optimal control of diffusion equation with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel
J. D. Djida, G. M. Mophou, I. Area
In this paper, we consider a diffusion equation with fractional-time derivative with nonsingular Mittag-Leffler kernel in Hilbert spaces. Existence and uniqueness of solution are p…