Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems

Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems

In this paper, we study the existence of solutions for nonlinear fractional q-difference equations and inclusions. We apply some known fixed point theorems to prove the existence results. Finally, some illustrative examples are presented to state the validity of our main results.

Bibliographic Details
Main Authors: Sina Etemad, Sotiris K. Ntouyas
Format: Article
Language:English
Published: AIMS Press 2019-07-01
Series:AIMS Mathematics
Subjects:
fractional q-difference equation and inclusion
boundary value problem
existence
fixed point theorem
Online Access:https://www.aimspress.com/article/10.3934/math.2019.3.997/fulltext.html
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spelling doaj-90ce54478b9147cea87bc09be7b0aef82020-11-25T02:10:41ZengAIMS PressAIMS Mathematics2473-69882019-07-0143997101810.3934/math.2019.3.997Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problemsSina Etemad0Sotiris K. Ntouyas11 Department of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, Iran2 Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece 3 Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, we study the existence of solutions for nonlinear fractional q-difference equations and inclusions. We apply some known fixed point theorems to prove the existence results. Finally, some illustrative examples are presented to state the validity of our main results.https://www.aimspress.com/article/10.3934/math.2019.3.997/fulltext.htmlfractional q-difference equation and inclusionboundary value problemexistencefixed point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Sina Etemad
Sotiris K. Ntouyas
spellingShingle Sina Etemad
Sotiris K. Ntouyas
Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
AIMS Mathematics
fractional q-difference equation and inclusion
boundary value problem
existence
fixed point theorem
author_facet Sina Etemad
Sotiris K. Ntouyas
author_sort Sina Etemad
title Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
title_short Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
title_full Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
title_fullStr Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
title_full_unstemmed Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
title_sort application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2019-07-01
description In this paper, we study the existence of solutions for nonlinear fractional q-difference equations and inclusions. We apply some known fixed point theorems to prove the existence results. Finally, some illustrative examples are presented to state the validity of our main results.
topic fractional q-difference equation and inclusion
boundary value problem
existence
fixed point theorem
url https://www.aimspress.com/article/10.3934/math.2019.3.997/fulltext.html
work_keys_str_mv AT sinaetemad applicationofthefixedpointtheoremsontheexistenceofsolutionsforqfractionalboundaryvalueproblems
AT sotiriskntouyas applicationofthefixedpointtheoremsontheexistenceofsolutionsforqfractionalboundaryvalueproblems
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