Boundary value problems of fractional q-difference equations on the half-line

Abstract In this paper, we consider the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the half-line. By means of Schauder fixed point theorem and Leggett–Williams fixed point theorem, some results on existe...

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Main Authors: Kuikui Ma, Xinhui Li, Shurong Sun
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1159-3
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spelling doaj-97c961803d5d4eb49f848ea8c97a81362020-11-25T00:35:04ZengSpringerOpenBoundary Value Problems1687-27702019-02-012019111610.1186/s13661-019-1159-3Boundary value problems of fractional q-difference equations on the half-lineKuikui Ma0Xinhui Li1Shurong Sun2School of Mathematical Sciences, University of JinanSchool of Mathematical Sciences, University of JinanSchool of Mathematical Sciences, University of JinanAbstract In this paper, we consider the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the half-line. By means of Schauder fixed point theorem and Leggett–Williams fixed point theorem, some results on existence and multiplicity of solutions are obtained.http://link.springer.com/article/10.1186/s13661-019-1159-3Fractional q-difference equationsThe half-lineExistence and multiplicity of solutions
collection DOAJ
language English
format Article
sources DOAJ
author Kuikui Ma
Xinhui Li
Shurong Sun
spellingShingle Kuikui Ma
Xinhui Li
Shurong Sun
Boundary value problems of fractional q-difference equations on the half-line
Boundary Value Problems
Fractional q-difference equations
The half-line
Existence and multiplicity of solutions
author_facet Kuikui Ma
Xinhui Li
Shurong Sun
author_sort Kuikui Ma
title Boundary value problems of fractional q-difference equations on the half-line
title_short Boundary value problems of fractional q-difference equations on the half-line
title_full Boundary value problems of fractional q-difference equations on the half-line
title_fullStr Boundary value problems of fractional q-difference equations on the half-line
title_full_unstemmed Boundary value problems of fractional q-difference equations on the half-line
title_sort boundary value problems of fractional q-difference equations on the half-line
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2019-02-01
description Abstract In this paper, we consider the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the half-line. By means of Schauder fixed point theorem and Leggett–Williams fixed point theorem, some results on existence and multiplicity of solutions are obtained.
topic Fractional q-difference equations
The half-line
Existence and multiplicity of solutions
url http://link.springer.com/article/10.1186/s13661-019-1159-3
work_keys_str_mv AT kuikuima boundaryvalueproblemsoffractionalqdifferenceequationsonthehalfline
AT xinhuili boundaryvalueproblemsoffractionalqdifferenceequationsonthehalfline
AT shurongsun boundaryvalueproblemsoffractionalqdifferenceequationsonthehalfline
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