Stability Analysis of Fuzzy Generalized Abel Integral Equations Using Homotopy Perturbation Method

Authors

  • Sathiyapriya S.P. Kumaraguru College of Technology.
  • Chiranjibe Jana vidyasagar university
  • Nikola Ivkovic University of Zagreb.

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.7059

Keywords:

fuzzy Abel integral equations, parametric forms, stability, homotopy perturbation method, approximate solutions

Abstract

In recent years, many more numerical methods were used to solve integral equations due to its fundamental importance in various scientific phenomena. In this paper, note-worthy algorithm is framed for generalized fuzzy Abel integral equation of the first kind based on the homotopy perturbation method. The stability of fuzzy approximate solution of it under the presence of small perturbation function in the initial fuzzy approximation is analyzed. A detailed description of the proof is provided to validate the efficiency of the applied technique and to show that this method provides accurate results for the problem under consideration. 

Author Biographies

  • Sathiyapriya S.P., Kumaraguru College of Technology.

    Department of Mathematics, Kumaraguru College of Technology, Coimbatore, Tamil Nadu-641049, India

    e-mail: [email protected]

  • Chiranjibe Jana, vidyasagar university

    Department of Applied Mathematics with Oceanology and

    Computer Programming, Midnapore 721102, India

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Published

2026-02-16

Issue

Vol. 19 No. 1: (January 2026)

Section

Mathematical and Fuzzy Logic

License

Copyright (c) 2026 Sathiyapriya S.P., Chiranjibe Jana, Nikola Ivkovic

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How to Cite

Stability Analysis of Fuzzy Generalized Abel Integral Equations Using Homotopy Perturbation Method. (2026). European Journal of Pure and Applied Mathematics, 19(1), 7059. https://doi.org/10.29020/nybg.ejpam.v19i1.7059