Geodesic
Existence and uniqueness results for a semilinear fuzzy fractional elliptic equation
Filomat, Tome 37 (2023) no. 27, p. 9315

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

The purpose of this study is to look at a family of starting value problem for semilinear fuzzy fractional elliptic equation with fractional Caputo derivatives. Firstly, we are going to extend the definition of laplacian operator under generalized H-differentiability in the Fuzzy systems. Secondly, the fuzzy integral equation are founded. Then, the existence and uniqueness of a fuzzy solution are etablished utilizing the Banach fixed point assessment method under Lipschitz conditions. Finally, we conclude our work by a conclusion.
DOI : 10.2298/FIL2327315G
Classification : 47S40, 34K36, 34A07
Keywords: Existence and uniqueness, Semilinear fuzzy fractional elliptic equation, Banach fixed point theorem, Lipschitz conditions, Fractional Caputo derivatives 
Aziz El Ghazouani; Amale Talhaoui; M ; hamed Elomari; Said Melliani. Existence and uniqueness results for a semilinear fuzzy fractional elliptic equation. Filomat, Tome 37 (2023) no. 27, p. 9315 . doi: 10.2298/FIL2327315G
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     author = {Aziz El Ghazouani and Amale Talhaoui and M  and hamed Elomari and Said Melliani},
     title = {Existence and uniqueness results for a semilinear fuzzy fractional elliptic equation},
     journal = {Filomat},
     pages = {9315 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327315G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327315G/}
}
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