α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results

Abstract We review the existence of solutions for a three-point nonlinear q-fractional differential equation and also its related inclusion. In this way, we use α-ψ-contractions and multifunctions. Also, we provide two examples to illustrate our main results. Finally by providing some algorithms and...

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Main Authors: Sina Etemad, Shahram Rezapour, Mohammad Esmael Samei
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02679-w
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author Sina Etemad
Shahram Rezapour
Mohammad Esmael Samei
author_facet Sina Etemad
Shahram Rezapour
Mohammad Esmael Samei
author_sort Sina Etemad
collection DOAJ
description Abstract We review the existence of solutions for a three-point nonlinear q-fractional differential equation and also its related inclusion. In this way, we use α-ψ-contractions and multifunctions. Also, we provide two examples to illustrate our main results. Finally by providing some algorithms and tables, we give some numerical computations for the results.
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spelling doaj.art-fe1e3516c464422a8bc959633d16db1e2022-12-21T18:39:58ZengSpringerOpenAdvances in Difference Equations1687-18472020-05-012020114010.1186/s13662-020-02679-wα-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational resultsSina Etemad0Shahram Rezapour1Mohammad Esmael Samei2Department of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics, Bu-Ali Sina UniversityAbstract We review the existence of solutions for a three-point nonlinear q-fractional differential equation and also its related inclusion. In this way, we use α-ψ-contractions and multifunctions. Also, we provide two examples to illustrate our main results. Finally by providing some algorithms and tables, we give some numerical computations for the results.http://link.springer.com/article/10.1186/s13662-020-02679-wα-ψ-contractionq-fractional differential equationApproximate endpoint propertyBoundary value inclusion problem
spellingShingle Sina Etemad
Shahram Rezapour
Mohammad Esmael Samei
α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results
Advances in Difference Equations
α-ψ-contraction
q-fractional differential equation
Approximate endpoint property
Boundary value inclusion problem
title α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results
title_full α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results
title_fullStr α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results
title_full_unstemmed α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results
title_short α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results
title_sort α ψ contractions and solutions of a q fractional differential inclusion with three point boundary value conditions via computational results
topic α-ψ-contraction
q-fractional differential equation
Approximate endpoint property
Boundary value inclusion problem
url http://link.springer.com/article/10.1186/s13662-020-02679-w
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AT shahramrezapour apscontractionsandsolutionsofaqfractionaldifferentialinclusionwiththreepointboundaryvalueconditionsviacomputationalresults
AT mohammadesmaelsamei apscontractionsandsolutionsofaqfractionaldifferentialinclusionwiththreepointboundaryvalueconditionsviacomputationalresults