Integrable and Continuous Solutions of the Nonlinear Delayed Abel Fractal Integral Equation of the Second Kind

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DOI: https://doi.org/10.28924/2291-8639-23-2025-285
Published: Nov 5, 2025
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Shaymaa I. Nasim, Ahmed M. El-Sayed, Eman M. A. Hamdallah, Integrable and Continuous Solutions of the Nonlinear Delayed Abel Fractal Integral Equation of the Second Kind, Int. J. Anal. Appl., 23 (2025), 285.

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Shaymaa I. Nasim, Ahmed M. El-Sayed, Eman M. A. Hamdallah

Abstract

In this paper, we define the nonlinear delayed Abel fractal integral equation of the second kind. The existence of solutions in the two classes, of continuous C[0, T] and integrable L1[0, T] functions, will be proved. The continuous dependence of the unique solution on the parameters will be proved. The Hyers-Ulam stability of the problem itself will be studied.

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