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Journal articles
OPTIMAL CONTROL OF DIFFUSION EQUATION WITH FRACTIONAL TIME DERIVATIVE WITH NONLOCAL AND NONSINGULAR MITTAG-LEFFLER KERNEL
Abstract : In this paper, we consider a diffusion equation with fractional-time derivative with non-singular Mittag-Leffler kernel in Hilbert spaces. Existence and uniqueness of solution are proved by means of a spectral argument. The existence of solution is obtained for all values of the fractional parameter α ∈ (0, 1). Moreover, by applying control theory to the fractional diffusion problem we obtain an optimality system which has also a unique solution.
Cited literature [27 references]
https://hal.archives-ouvertes.fr/hal-02418470
Contributor : Gisele Mophou Loudjom <>
Submitted on : Wednesday, December 18, 2019 - 6:49:44 PM
Last modification on : Friday, September 25, 2020 - 9:40:16 AM
Long-term archiving on: : Thursday, March 19, 2020 - 9:21:12 PM
Contributor : Gisele Mophou Loudjom <>
Submitted on : Wednesday, December 18, 2019 - 6:49:44 PM
Last modification on : Friday, September 25, 2020 - 9:40:16 AM
Long-term archiving on: : Thursday, March 19, 2020 - 9:21:12 PM
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