Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions

By Yulin Zhao, Haibo Chen, Qi-Ming Zhang. Advances in Differential Equations, 2013

70 citations recorded by the source corpus.

In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the monotone iterative method, and Krasnoselskii’s fixed point theorem, some existence results of positive solutions are obtained. In addition, some examples to illustrate our results are given. MSC:39A13, 34B18, 34A08.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/5bd16765605ecc3a0201338aceb6a7b7a8e7b34d

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In Applied Mathematics

1. Jianhua Chen
2. Xianjiu Huang

In Modeling and Simulation

1. Jianhua Chen
2. Xianjiu Huang

Citations in the corpus

• Some new inequalities of Simpson’s type for s-convex functions via fractional integrals (2017, background): “For more fractional integral applications, please see [14-21] The aim of this paper is to establish some new inequalities for s-convex functions in the second sense via Riemann-Liouville fractional integral.”