Geodesic
An existence results for a fractional differential equation with φ-fractional derivative
Filomat, Tome 36 (2022) no. 3, p. 753

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

DOI

In this article, we establish certain sufficient conditions to show the existence of solutions of a fractional differential equation with the φ-Riemann-Liouville and φ-Caputo fractional derivative in a special Banach space. Our approach is based on fixed point theorems for Meir-Keeler condensing operators via measure of non-compactness. Also an example is given to illustrate our approach
DOI : 10.2298/FIL2203753B
Classification : 26A33, 34K37, 47H08, 47H10, 34A08, 34A12
Keywords: φ-fractional double derivative, measure of non-compactness, fixed point theorem, Meir-Keeler condensing operator 
Moustafa Beddani; Benaouda Hedia. An existence results for a fractional differential equation with φ-fractional derivative. Filomat, Tome 36 (2022) no. 3, p. 753 . doi: 10.2298/FIL2203753B
@article{10_2298_FIL2203753B,
     author = {Moustafa Beddani and Benaouda Hedia},
     title = {An existence results for a fractional differential equation with \ensuremath{\varphi}-fractional derivative},
     journal = {Filomat},
     pages = {753 },
     year = {2022},
     volume = {36},
     number = {3},
     doi = {10.2298/FIL2203753B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2203753B/}
}
TY  - JOUR
AU  - Moustafa Beddani
AU  - Benaouda Hedia
TI  - An existence results for a fractional differential equation with φ-fractional derivative
JO  - Filomat
PY  - 2022
SP  - 753 
VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2203753B/
DO  - 10.2298/FIL2203753B
LA  - en
ID  - 10_2298_FIL2203753B
ER  - 
%0 Journal Article
%A Moustafa Beddani
%A Benaouda Hedia
%T An existence results for a fractional differential equation with φ-fractional derivative
%J Filomat
%D 2022
%P 753 
%V 36
%N 3
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2203753B/
%R 10.2298/FIL2203753B
%G en
%F 10_2298_FIL2203753B

Cité par Sources :