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Journal of Applied Mathematics and Computing

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01.02.2015 | Original Research

Existence of solutions for nonlinear fractional q-difference equations with Riemann-Liouville type q-derivatives

verfasst von: Min Jiang, Shouming Zhong

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2015

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Abstract

In this paper, we study the boundary value problem of a fractional \(q\)-difference equation with nonlocal integral boundary conditions involving the fractional q-derivative of the Riemann-Liouville type, and the nonlinear term contains a fractional \(q\)-derivative. By means of Bananch’s contraction mapping principle, Schauder’s fixed-point theorem and an extension of Krasnoselskii’s fixed point theorem in a cone, some existence results for the solutions are obtained. Finally, examples are presented to illustrate our main results.

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Titel: Existence of solutions for nonlinear fractional q-difference equations with Riemann-Liouville type q-derivatives
verfasst von: Min Jiang
Shouming Zhong
Publikationsdatum: 01.02.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2015
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-014-0784-3

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