Fractional Order Delay Differential Equation Constrained by Nonlocal and Weighted Delay Integral Equations

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DOI: https://doi.org/10.28924/2291-8639-23-2025-57
Published: Mar 3, 2025
Cite as:
A.M.A. El-Sayed, W.G. El-Sayed, Kheria M. Msaik, Hanaa R. Ebead, Fractional Order Delay Differential Equation Constrained by Nonlocal and Weighted Delay Integral Equations, Int. J. Anal. Appl., 23 (2025), 57.

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A.M.A. El-Sayed, W.G. El-Sayed, Kheria M. Msaik, Hanaa R. Ebead

Abstract

This paper presents theoretical proof of the existence of a unique solution to a constrained problem of the Riemann-Liouville fractional differential equation with time delay functions by utilizing the Schauder fixed point theorem. Moreover, we analyzed the continuous dependence of the solution on the initial conditions and other parameters. Further, we investigate the Hyers-Ulam stability of the problem. We introduce some examples and special cases to illustrate our results.

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