Existence of solutions for a sequential fractional integro-differential system with coupled integral boundary conditions. (November 2017)

• Record Type: Journal Article
• Authors: Ahmad, Bashir; Luca, Rodica
• Is Part Of: Chaos, solitons and fractals. Volume 104(2017)
• Page Start: 378
• Page End: 388
• Publication Date: 2017-11
• Subjects: Caputo fractional differential equations -- Coupled integral boundary conditions -- Fixed point theorems; 34A08 -- 34B15 -- 45G15; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.08.035
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: We investigate the existence and uniqueness of solutions for a system of nonlinear Caputo type sequential fractional integro-differential equations with coupled Riemann–Stieltjes integral boundary conditions, by using the Leray–Schauder alternative and the Banach contraction principle. Two examples are also presented to illustrate our results.