Stability Analysis of Fuzzy Generalized Abel Integral Equations Using Homotopy Perturbation Method
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.
Fields of Study & Subjects
Fuzzy Systems and Optimization
Differential Equations and Boundary Problems
Fractional Differential Equations Solutions
Publication details
- Journal / source
- European Journal of Pure and Applied Mathematics
- Volume
- 19
- Issue
- 1
- Pages
- 7059–7059
- Publication date
- 16 February 2026
- Language
- EN