An existence result for Hadamard type two dimensional fractional functional integral equations via measure of noncompactness. (June 2021)

• Record Type: Journal Article
• Authors: Deep, Amar; Deepmala, ; Hazarika, Bipan
• Is Part Of: Chaos, solitons and fractals. Volume 147(2021)
• Publication Date: 2021-06
• Subjects: Fractional functional integral equation (FFIE) -- Fixed point theorem -- Banach algebra -- Measure of non-compactness (MNC); 47H09 -- 47H10; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.110874
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this article, we investigate the existence of solutions for Hadamard type two dimensional fractional functional integral equations on [ 1, b ] × [ 1, c ] . We use the concept of measure of non-compactness and Darbo's fixed point theorem as the main tool to prove our results. Also, with the help of an example, we discuss the validity of our result.