Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces

Seba, Djamila

Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 309-321

Abstract (VO)

We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem associated with the technique of measures of noncompactness.

Détail

DOI : 10.21136/MB.2017.0041-16

Classification : 26A33, 34A08, 34A60, 34B10, 34B15
Keywords: differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness

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