Geodesic
Existence results for nonlinear Katugampola fractional differential equations with an integral condition
B. Basti1 ; Y. Arioua1 ; N. Benhamidouche1 ; B. Basti ; Y. Arioua ; N. Benhamidouche
1Laboratory for Pure and Applied Mathematics, University of Mohamed Boudiaf M'sila, 28000, Algeria
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 243-260 
B. Basti; Y. Arioua; N. Benhamidouche; B. Basti; Y. Arioua; N. Benhamidouche. Existence results for nonlinear Katugampola fractional differential equations with an integral condition. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 243-260. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a4/
@article{AMUC_2020_89_2_a4,
     author = {B. Basti and Y. Arioua and N. Benhamidouche and B. Basti and Y. Arioua and N. Benhamidouche},
     title = { Existence results for nonlinear {Katugampola} fractional differential equations with an integral condition},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {243--260},
     year = {2020},
     volume = {89},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

This work studies the existence and uniqueness of solutions for a class of nonlinear fractional differential equations via the Katugampola fractional derivatives with an integral condition. The arguments for the study are based up on the Banach contraction principle, Schauder’s fixed point theorem and the nonlinear alternative of Leray-Schauder type.