Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space. Issue 1 (1st January 2021)

• Record Type: Journal Article
• Authors: Chaharpashlou, Reza; Saadati, Reza; Abdeljawad, Thabet
• Is Part Of: Journal of Taibah University for science. Volume 15:Issue 1(2021)
• Page Start: 574
• Page End: 578
• Publication Date: 2021-01-01
• Subjects: Existence -- uniqueness -- stability -- fractional integral equations -- control function -- MB-space; Primary: 54C40 -- 14E20 -- Secondary: 46E25 -- 47H10 -- 20C20; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2021.1994787
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract : In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of fractional Volterra integral equations. We use the Radu-Mihe method, to get an approximation for the mentioned fractional Volterra integral equation.