OPTIMAL CONTROL OF DIFFUSION EQUATION WITH FRACTIONAL TIME DERIVATIVE WITH NONLOCAL AND NONSINGULAR MITTAG-LEFFLER KERNEL

J Djida 1, 2 Gisèle Mophou 3 I Area 4
1 USC - Universidade de Santiago de Compostela [Spain]
2 AIMS - African Institute for Mathematical Sciences
3 LAMIA - Laboratoire de Mathématiques Informatique et Applications
4 Universidate de Vigo
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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download
https://hal.archives-ouvertes.fr/hal-02418470
Contributor : Gisele Mophou Loudjom <>
Submitted on : Wednesday, December 18, 2019 - 6:49:44 PM
Last modification on : Monday, January 13, 2020 - 1:19:16 AM

File

ART_Ivan_Jeandaniel_Gisele.pdf
Files produced by the author(s)

Identifiers

Collections

UNIV-AG | INSMI | BNRMI | TDS-MACS

Citation

J Djida, Gisèle Mophou, I Area. OPTIMAL CONTROL OF DIFFUSION EQUATION WITH FRACTIONAL TIME DERIVATIVE WITH NONLOCAL AND NONSINGULAR MITTAG-LEFFLER KERNEL. Journal of Optimization Theory and Applications, Springer Verlag, 2018, 182 (2), pp.540-557. ⟨10.1007/s10957-018-1305-6⟩. ⟨hal-02418470⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

15

Files downloads

20

Contact

Informations

CCSD