Journal
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
Volume 24, Issue 1, Pages 33-48Publisher
JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS
DOI: 10.22436/jmcs.024.01.04
Keywords
Fractional integro-differential equation; existence of solutions; infinite point non-classical condition; Riemann-Stieltjes nonlocal condition; delay function
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This paper investigates 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. It explores the existence of solutions and the continuous dependence of solutions in three different cases. Illustrative examples are provided to support the results. This work extends some recent developments in the field.
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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