Generalized fractional delay functional equations with Riemann-Stieltjes and infinite point nonlocal conditions

Volume 24, Issue 1, pp 33--48 http://dx.doi.org/10.22436/jmcs.024.01.04

Publication Date: December 23, 2020 Submission Date: July 21, 2020 Revision Date: September 22, 2020 Accteptance Date: November 20, 2020

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Authors

M. I. Youssef - Department of Mathematics, College of Science, Jouf University, P. O. Box 2014, Sakaka, Saudi Arabia. - Department of Mathematics, Faculty of Education, Alexandria University, Alexandria , Egypt.

Abstract

In the current work, we investigate the solvability of a general class of fractional delay functional equations subject to an infinite point non-classical condition, and the Riemann-Stieltjes integral condition as well. First, the existence of solutions is investigated. Second, the continuous dependence of solution is studied in three different cases. Third, illustrative examples are given to support our results. Our work extends some developments published recently in that field.

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Keywords

• Fractional integro-differential equation
• existence of solutions
• infinite point non-classical condition
• Riemann-Stieltjes nonlocal condition
• delay function

MSC

•  34A12
•  45D05
•  34K37

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