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Existence of solutions for nonlinear fractional q-difference integral equations with two fractional orders and nonlocal four-point boundary conditions
Journal article   Peer reviewed

Existence of solutions for nonlinear fractional q-difference integral equations with two fractional orders and nonlocal four-point boundary conditions

Bashir Ahmad, Juan J. Nieto, Ahmed Alsaedi and Hana Al-Hutami
Journal of the Franklin Institute, Vol.351(5), pp.2890-2909
01/05/2014
DOI: https://doi.org/10.1016/j.jfranklin.2014.01.020

Abstract

Automation & Control Systems Engineering Engineering, Electrical & Electronic Engineering, Multidisciplinary Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology Technology
We investigate the existence of solutions for a nonlinear fractional q-difference integral equation (q-variant of the Langevin equation) with two different fractional orders and nonlocal four-point boundary conditions. Our results are based on some classical fixed point theorems. An illustrative example is also presented. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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