Work

A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem

Year: 2024

Type: article

Abstract: This study focuses on the nonlinear fractional functional integral equation (FFIE) concerning the Riemann-Liouville operator. In certain weaker conditions, the authors demonstrate that the FFIE has a solution, which is defined within the Banach algebra (Formula presented.). Our analysis relies on the Petryshyn's fixed point theorem and the notion of measure of non-compactness (MNC). In addition, our results include numerous authors' work under less restrictive conditions. Furthermore, we provide an illustrative example of fractional functional integral equations to support our proven results.

Source: Journal of Taibah University for Science

DOI: 10.1080/16583655.2024.2410047

Authors: Sukanta Halder, Deepmala, Cemil Tunç

Institutions: Indian Institute of Information Technology Design and Manufacturing Jabalpur, Van Yüzüncü Yıl Üniversitesi

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $944

Funder: University Grants Commission