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Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces. (English) Zbl 06770148
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
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