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

Authors

  • Mahnaz Khanehgir
  • Reza Allahyari
  • Hojjatollah Amiri Kayvanloo

DOI:

https://doi.org/10.30495/jme.v15i0.2156

Keywords:

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

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.

Author Biography

Mahnaz Khanehgir

Islamic Azad University.Mashhad Branch

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Published

2021-12-20

Issue

Vol. 15

Section

Vol. 15, No. 5, (2021)

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