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

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

doi:10.28924/2291-8639-23-2025-285

Research Article

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

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

* Corresponding author

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.

How to Cite

S. I. Nasim, A. M. El-Sayed, E. 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. https://doi.org/10.28924/2291-8639-23-2025-285

BibTeX

@article{Nasim2025,
  author  = {Nasim, Shaymaa I. and El-Sayed, Ahmed M. and Hamdallah, Eman M. A.},
  title   = {Integrable and Continuous Solutions of the Nonlinear Delayed Abel Fractal Integral Equation of the Second Kind},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {285},
  doi     = {10.28924/2291-8639-23-2025-285}
}

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