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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Format: | Article |
Language: | English |
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SpringerOpen
2020-05-01
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Series: | Advances in Difference Equations |
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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. |
first_indexed | 2024-12-22T03:52:44Z |
format | Article |
id | doaj.art-fe1e3516c464422a8bc959633d16db1e |
institution | Directory Open Access Journal |
issn | 1687-1847 |
language | English |
last_indexed | 2024-12-22T03:52:44Z |
publishDate | 2020-05-01 |
publisher | SpringerOpen |
record_format | Article |
series | Advances in Difference Equations |
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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