Nonlinear contractions and Caputo tempered impulsive implicit fractional differential equations in b-metric spaces
Mathematica Moravica, Tome 27 (2023) no. 2.

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

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 nonlocal conditions and instantaneous impulses. The results are based on the ω−δ-Geraghty type contraction, the F-contraction and the fixed point theory. Furthermore, some illustrations are presented to demonstrate the plausibility of our results.
Mots-clés : Fixed point, implicit differential equations, impulses, tempered fractional derivative, ${\omega}-{\delta}$-Geraghty contraction, $F$-contraction, nonlocal condition. 
@article{MM3_2023_27_2_a0,
     author = {Salim Krim and Abdelkrim Salim and Mouffak Benchohra},
     title = {Nonlinear contractions and {Caputo} tempered impulsive implicit fractional differential equations in b-metric spaces},
     journal = {Mathematica Moravica},
     pages = {1 - 24},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2023},
     url = {https://geodesic-test.mathdoc.fr/item/MM3_2023_27_2_a0/}
}
TY  - JOUR
AU  - Salim Krim
AU  - Abdelkrim Salim
AU  - Mouffak Benchohra
TI  - Nonlinear contractions and Caputo tempered impulsive implicit fractional differential equations in b-metric spaces
JO  - Mathematica Moravica
PY  - 2023
SP  - 1 
EP  -  24
VL  - 27
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/MM3_2023_27_2_a0/
ID  - MM3_2023_27_2_a0
ER  - 
%0 Journal Article
%A Salim Krim
%A Abdelkrim Salim
%A Mouffak Benchohra
%T Nonlinear contractions and Caputo tempered impulsive implicit fractional differential equations in b-metric spaces
%J Mathematica Moravica
%D 2023
%P 1 - 24
%V 27
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/MM3_2023_27_2_a0/
%F MM3_2023_27_2_a0
Salim Krim; Abdelkrim Salim; Mouffak Benchohra. Nonlinear contractions and Caputo tempered impulsive implicit fractional differential equations in b-metric spaces. Mathematica Moravica, Tome 27 (2023) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2023_27_2_a0/