Geodesic
On fractional evolution equations with an extended ψ−fractional derivative
Filomat, Tome 37 (2023) no. 21, p. 7231

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

DOI

This manuscript aims to highlight the existence and uniqueness results for a class of fuzzy non-linear fractional evolution equations. Our approach is based on the application of an extended Ψ−Caputo fractional derivative of order q ∈ (0, 1) valid on fuzzy functions paired with Banach contraction principle. As an example of application, we provide one at the end of this paper to show how the results can be used.
DOI : 10.2298/FIL2321231O
Classification : 34A08, 03E72, 34K36
Keywords: Fuzzy numbers, fuzzy Ψ−Caputo fractional derivative, Banach fixed point theorem 
Khadija Oufkir; Ali El Mfadel; Said Melliani; Mhamed Elomari; Hamid Sadiki. On fractional evolution equations with an extended ψ−fractional derivative. Filomat, Tome 37 (2023) no. 21, p. 7231 . doi: 10.2298/FIL2321231O
@article{10_2298_FIL2321231O,
     author = {Khadija Oufkir and Ali El Mfadel and Said Melliani and Mhamed Elomari and Hamid Sadiki},
     title = {On fractional evolution equations with an extended \ensuremath{\psi}\ensuremath{-}fractional derivative},
     journal = {Filomat},
     pages = {7231 },
     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321231O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321231O/}
}
TY  - JOUR
AU  - Khadija Oufkir
AU  - Ali El Mfadel
AU  - Said Melliani
AU  - Mhamed Elomari
AU  - Hamid Sadiki
TI  - On fractional evolution equations with an extended ψ−fractional derivative
JO  - Filomat
PY  - 2023
SP  - 7231 
VL  - 37
IS  - 21
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2321231O/
DO  - 10.2298/FIL2321231O
LA  - en
ID  - 10_2298_FIL2321231O
ER  - 
%0 Journal Article
%A Khadija Oufkir
%A Ali El Mfadel
%A Said Melliani
%A Mhamed Elomari
%A Hamid Sadiki
%T On fractional evolution equations with an extended ψ−fractional derivative
%J Filomat
%D 2023
%P 7231 
%V 37
%N 21
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2321231O/
%R 10.2298/FIL2321231O
%G en
%F 10_2298_FIL2321231O

Cité par Sources :