Solutions of fractional functional integrodifferential equations via Petryshyn’s fixed point theorem
نویسندگان
1 Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.
2 Department of Mathematics, Faculty of Science, Damanhour University, Egypt
3 Department of mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
doi
10.22075/ijnaa.2024.33112.4930چکیده
This article provides the presence of solutions to a fractional functional integro-differential equation via measures of non-compactness. We present and prove a novel theorem that guarantees the existence of solutions, employing Petryshyn's fixed point theorem in the space of continuous functions. These findings build upon previous studies by establishing the existence of results under less stringent conditions. Furthermore, we provide illustrative examples of such equations to showcase the efficacy of the obtained results.
