Solution Set for Impulsive Fractional Differential Inclusions
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 49
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems. We also obtain some topological properties about the solution set.
Classification :
34A60, 34A08, 34A37
Keywords: impulsive fractional differential inclusions, Riemann-Liouville fractional derivative, fixed point, solution set, compactness, contractible
Keywords: impulsive fractional differential inclusions, Riemann-Liouville fractional derivative, fixed point, solution set, compactness, contractible
@article{KJM_2022_46_1_a4,
author = {Moustafa Beddani},
title = {Solution {Set} for {Impulsive} {Fractional} {Differential} {Inclusions}},
journal = {Kragujevac Journal of Mathematics},
pages = {49 },
year = {2022},
volume = {46},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a4/}
}
Moustafa Beddani. Solution Set for Impulsive Fractional Differential Inclusions. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 49 . http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a4/