Existence, Uniqueness and Ulam’s Stability of Solutions for a Coupled System of Fractional Differential Equations with Integral Boundary Conditions

Dimplekumar Chalishajar and Avadhesh Kumar
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Dimplekumar Chalishajar: Department of Mathematics and Computer Science, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, USA
Avadhesh Kumar: School of Basic Sciences, Indian Institute of Technology Mandi, Kamand 175 005, H.P., India

Mathematics, 2018, vol. 6, issue 6, 1-12

Abstract: In this paper, the existence and uniqueness of the solutions to a fractional order nonlinear coupled system with integral boundary conditions is investigated. Furthermore, Ulam’s type stability of the proposed coupled system is studied. Banach’s fixed point theorem is used to obtain the existence and uniqueness of the solutions. Finally, an example is provided to illustrate the analytical findings.

Keywords: coupled system; green’s function; integral boundary conditions; Ulam’s stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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