A study of a more general class of nonlocal integro-multipoint boundary-value problems of fractional integro-differential inclusions

B. Ahmad; S. K. Ntouyas; A. Alsaedi

doi:10.37863/umzh.v73i6.388

B. Ahmad King Abdulaziz Univ., Saudi Arabia
S. K. Ntouyas Univ. Ioannina, Greece and King Abdulaziz Univ., Saudi Arabia
A. Alsaedi King Abdulaziz Univ., Saudi Arabia

DOI: https://doi.org/10.37863/umzh.v73i6.388

Keywords: Fractional dierential inclusion, multipoin, integral boundary condition, fixed poin

Abstract

UDC 517.9

We develop the existence theory for a more general class of nonlocal integro-multipoint boundary value problems of Caputo type fractional integro-differential inclusions. Our results include the convex and non-convex cases for the given problem and rely on standard fixed point theorems for multivalued maps. The obtained results are illustrated with the aid of examples.

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