Geodesic
Nonlinear contractions and Caputo tempered implicit fractional differential equations in b-metric spaces with infinite delay
Filomat, Tome 37 (2023) no. 22, p. 7491

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

DOI

This paper deals with some existence and uniqueness results for a class of problems for nonlinear Caputo tempered implicit fractional differential equations in b-Metric spaces with initial condition and infinite delay. The results are based on the ω − ψ-Geraghty type contraction, the F-contraction and the fixed point theory. Furthermore, an two illustrations are presented to demonstrate the plausibility of our results.
DOI : 10.2298/FIL2322491K
Classification : 26A33, 34A08, 34K37
Keywords: Fixed point, Implicit differential equations, Existence, Uniqueness, Delay, Tempered fractional derivative, ω − ψ- Geraghty contraction, F-contraction, Nonlocal condition 
Salim Krim; Abdelkrim Salim; Mouffak Benchohra. Nonlinear contractions and Caputo tempered implicit fractional differential equations in b-metric spaces with infinite delay. Filomat, Tome 37 (2023) no. 22, p. 7491 . doi: 10.2298/FIL2322491K
@article{10_2298_FIL2322491K,
     author = {Salim Krim and Abdelkrim Salim and Mouffak Benchohra},
     title = {Nonlinear contractions and {Caputo} tempered implicit fractional differential equations in b-metric spaces with infinite delay},
     journal = {Filomat},
     pages = {7491 },
     year = {2023},
     volume = {37},
     number = {22},
     doi = {10.2298/FIL2322491K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322491K/}
}
TY  - JOUR
AU  - Salim Krim
AU  - Abdelkrim Salim
AU  - Mouffak Benchohra
TI  - Nonlinear contractions and Caputo tempered implicit fractional differential equations in b-metric spaces with infinite delay
JO  - Filomat
PY  - 2023
SP  - 7491 
VL  - 37
IS  - 22
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2322491K/
DO  - 10.2298/FIL2322491K
LA  - en
ID  - 10_2298_FIL2322491K
ER  - 
%0 Journal Article
%A Salim Krim
%A Abdelkrim Salim
%A Mouffak Benchohra
%T Nonlinear contractions and Caputo tempered implicit fractional differential equations in b-metric spaces with infinite delay
%J Filomat
%D 2023
%P 7491 
%V 37
%N 22
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2322491K/
%R 10.2298/FIL2322491K
%G en
%F 10_2298_FIL2322491K

Cité par Sources :