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A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY
Journal article   Open access  Peer reviewed

A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY

Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi and Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Journal of applied analysis and computation, Vol.11(3), pp.1208-1221
2021
DOI: https://doi.org/10.11948/20200049

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we discuss the existence of solutions for generalized Caputo fractional differential equations and inclusions equipped with Steiltjes-type fractional integral boundary conditions via fixed-point theory. Examples are constructed for illustrating the obtained results.
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https://doi.org/10.11948/20200049View
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