Geodesic
Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions in Banach spaces
Filomat, Tome 36 (2022) no. 14, p. 4717

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 paper, we study the existence of solutions for nonlinear sequential Caputo and Caputo- Hadamard fractional differential equations with three-point boundary conditions by using measure of noncompactness combined with fixed point theorem of Mönch. An example illustrating the effectiveness of the theoretical results is presented.
DOI : 10.2298/FIL2214717L
Classification : 34A08, 34B15, 47H08
Keywords: Fractional differential equations, nonlinear equations, Caputo and Caputo-Hadamard fractional derivative, measure of noncompactness, Mönch fixed point theorem, existence 
Adel Lachouri; Abdelouaheb Ardjouni; Ahcene Djoudi. Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions in Banach spaces. Filomat, Tome 36 (2022) no. 14, p. 4717 . doi: 10.2298/FIL2214717L
@article{10_2298_FIL2214717L,
     author = {Adel Lachouri and Abdelouaheb Ardjouni and Ahcene Djoudi},
     title = {Existence results for nonlinear sequential {Caputo} and {Caputo-Hadamard} fractional differential equations with three-point boundary conditions in {Banach} spaces},
     journal = {Filomat},
     pages = {4717 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214717L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214717L/}
}
TY  - JOUR
AU  - Adel Lachouri
AU  - Abdelouaheb Ardjouni
AU  - Ahcene Djoudi
TI  - Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions in Banach spaces
JO  - Filomat
PY  - 2022
SP  - 4717 
VL  - 36
IS  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2214717L/
DO  - 10.2298/FIL2214717L
LA  - en
ID  - 10_2298_FIL2214717L
ER  - 
%0 Journal Article
%A Adel Lachouri
%A Abdelouaheb Ardjouni
%A Ahcene Djoudi
%T Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions in Banach spaces
%J Filomat
%D 2022
%P 4717 
%V 36
%N 14
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2214717L/
%R 10.2298/FIL2214717L
%G en
%F 10_2298_FIL2214717L

Cité par Sources :