Seba, Djamila Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces. (English) Zbl 06770148 Math. Bohem. 142, No. 3, 309-321 (2017). 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 Mönch fixed point theorem associated with the technique of measures of noncompactness. MSC: 26A33 Fractional derivatives and integrals 34A60 Ordinary differential inclusions 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness PDF BibTeX XML Cite \textit{D. Seba}, Math. Bohem. 142, No. 3, 309--321 (2017; Zbl 06770148) Full Text: DOI