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Open AccessArticle

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

1
Department of Mathematics and Computer Science, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, USA
2
School of Basic Sciences, Indian Institute of Technology Mandi, Kamand 175 005, H.P., India
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(6), 96; https://doi.org/10.3390/math6060096
Received: 2 May 2018 / Revised: 26 May 2018 / Accepted: 29 May 2018 / Published: 7 June 2018
(This article belongs to the Special Issue Applied Analysis of Ordinary Differential Equations)
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. View Full-Text
Keywords: coupled system; green’s function; integral boundary conditions; Ulam’s stability coupled system; green’s function; integral boundary conditions; Ulam’s stability
MDPI and ACS Style

Chalishajar, D.; Kumar, A. Existence, Uniqueness and Ulam’s Stability of Solutions for a Coupled System of Fractional Differential Equations with Integral Boundary Conditions. Mathematics 2018, 6, 96.

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