On Functional Equation Mixed q-Fractional Integral and Fractional Derivative with q-Integral Condition

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DOI: https://doi.org/10.28924/2291-8639-23-2025-21
Published: Jan 27, 2025
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Reda Gamal Ahmed, Ahmed M. A. El-Sayed, Muhanna Ali H. Alrashdi, On Functional Equation Mixed q-Fractional Integral and Fractional Derivative with q-Integral Condition, Int. J. Anal. Appl., 23 (2025), 21.

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Reda Gamal Ahmed, Ahmed M. A. El-Sayed, Muhanna Ali H. Alrashdi

Abstract

This paper examines the existence and uniqueness of the solution to the mixed q-fractional integral and fractional derivative with q-integral condition nonlocal problem of the functional integro-differential equation. Moreover, we establish the problem’s Hyers-Ulam stability. The solution’s continuous dependence will be examined. We’ll provide an example to illustrate the findings.

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