an:06770148
Zbl 06770148
Seba, Djamila
Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces
EN
Math. Bohem. 142, No. 3, 309-321 (2017).
00369569
2017
j
34 26A33 34A60 34B15
differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness
Summary: 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 M??nch fixed point theorem associated with the technique of measures of noncompactness.