ON INFINITE SYSTEMS OF CAPUTO FRACTIONAL DIFFERENTIAL INCLUSIONS FOR CONVEX-COMPACT MULTIVALUED MAPS

Mahnaz Khanehgir, Reza Allahyari, Hojjatollah Amiri Kayvanloo

Abstract


In this work, we discuss the existence of solutions of innite sys-tems for a boundary value problem of Caputo fractional dierential inclusionsinvolving convex-compact multivalued maps. Our results are based on an ap-propriate xed point theorem for condensing maps due to Martelli ([11] Boll.Un. Mat. Ital. 4(3):70-76, 1975). Eventually, we demonstrate an example toshow the eectiveness and usefulness of the obtained result.

Keywords


Caputo fractional dierential, Fixed point, Innite system, Measure of noncompactness, Multivalued mappings.

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