Solvability of m-product mixed non-linear functional integral equations
The purpose of this paper is devoted to establishing the existence of solutions for m-product non-linear functional integral equations with weakly singular and Riemann–Liouville integral terms. Our technique is based on Petryshyn’s theorem associated with the Hausdorff measure of non-compactness. Further, some examples are provided to illustrate the practicality of the results obtained.
Authors
- Mohammad Esmael Samei (ORCID: https://orcid.org/0000-0002-5450-3127)
- Manochehr Kazemi (ORCID: https://orcid.org/0000-0001-8392-6690)
- Amar Deep (ORCID: https://orcid.org/0000-0002-5165-1845)
- Mohammad Ali Fariborzi Araghi
Institutions
- Bu-Ali Sina University (IR)
- Shobhit University (IN)
- Islamic Azad University Central Tehran Branch (IR)
- Islamic Azad University, Ashtian Branch (IR)
Publication Details
- Journal
- Beni-Suef University Journal of Basic and Applied Sciences
- Published
- 2026-01-05
- DOI
- https://doi.org/10.1186/s43088-025-00708-9
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00