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Journal of Applied Mathematics and Computing

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25-08-2016 | Original Article

Existence of solutions for a class of the boundary value problem of fractional q-difference inclusions

Authors: Nana Jin, Shurong Sun, Guanwei Chen

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

In this paper, we investigate the existence of solutions for a class of the boundary value problem of fractional q-difference inclusions. By using the basic concepts and properties of fractional q-difference calculus, theory of multivalued maps, together with a nonlinear alternative for contractive maps, the existence result is obtained. Finally, an example is presented to illustrate our main result.

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Title: Existence of solutions for a class of the boundary value problem of fractional q-difference inclusions
Authors: Nana Jin
Shurong Sun
Guanwei Chen
Publication date: 25-08-2016
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-016-1043-6

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