Title of article :
On Infinite Systems of Caputo Fractional Differential Inclusions for Convex-Compact Multivalued Maps
Author/Authors :
Khanehgir, M Mashhad Branch - Islamic Azad University , Allahyari, R Mashhad Branch - Islamic Azad University , Amiri Kayvanloo, H Mashhad Branch - Islamic Azad University
Abstract :
In this work, we discuss the existence of solutions of infinite
systems for a boundary value problem of Caputo fractional differential
inclusions involving convex-compact multivalued maps. Our results are
based on an appropriate fixed point theorem for condensing maps in the
multivalued case. Eventually, we demonstrate an example to show the
effectiveness and usefulness of the obtained result.
Keywords :
multivalued mappings , measure of noncompactness , Fractional derivative , fixed point , infinite system
Journal title :
Journal of Mathematical Extension(IJME)