On solution of conformable fractional integral equation via measure of noncompactness and fixed point approach

Kazemi, Manochehr; Sahebi, Hamid Reza; Samei, Mohammad Esmael

doi:10.22055/jamm.2026.51592.2467

On solution of conformable fractional integral equation via measure of noncompactness and fixed point approach

Articles in Press

Document Type : Original Paper

Authors

Manochehr Kazemi ¹

Hamid Reza Sahebi ¹

Mohammad Esmael Samei ²

¹ Department of Mathematics, Ash. C., Islamic Azad University, Ashtian, Iran

² Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran

10.22055/jamm.2026.51592.2467

Abstract

This study seeks to explore the solutions of a class of non-linear equations via fractional conformable integral in the defined Banach space of continuous functions. In this setting, employing the technique of noncompactness measures, we utilize Petryshyn's fixed point theorem to establish the existence of solutions for this particular fractional equation under specific weaker conditions related to the space. Additionally, an example is provided to demonstrate the applicability of the results obtained from our theorem.

Keywords

Fractional conformable integral equation

measures of noncompactness

existence of solution

fixed point theorem of Petryshyn

Subjects