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math.AP2018
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…
math.AP2018
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…
math.AP2017★ 3 cited
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…