16 citations · 28 across the 6 of their papers we have counts for
10 papers
Domination of semigroups generated by regular forms
Sahiba Arora, Ralph Chill, Jean-Daniel Djida
We give a representation for regular forms associated with dominated -semigroups which, in turn, characterises domination of -semigroups associated with regular forms. In…
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data
Jean-Daniel Djida, Gisele Mophou, Mahamadi Warma
We consider parabolic equations on bounded smooth open sets $\Om\subset \R^N$ () with mixed Dirichlet type boundary-exterior conditions associated with the elliptic operato…
Nonlocal complement value problem for a global in time parabolic equation
Jean-Daniel Djida, Guy F. Foghem Gounoue, Yannick Kouakep Tchaptchie
The overreaching goal of this paper is to investigate the existence and uniqueness of weak solution of a semilinear parabolic equation with double nonlocality in space and in time…
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…
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…