Impulsive fractional quantum Hahn difference boundary value problems
Abstract In this paper, we study the existence and uniqueness of solutions for two classes of boundary value problems for impulsive Caputo type fractional Hahn difference equations, by using the Banach contraction mapping principle and the nonlinear alternative of Leray–Schauder. The obtained result...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2156-7 |
| _version_ | 1818277791937855488 |
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| author | Jessada Tariboon Sotiris K. Ntouyas Bundit Sutthasin |
| author_facet | Jessada Tariboon Sotiris K. Ntouyas Bundit Sutthasin |
| author_sort | Jessada Tariboon |
| collection | DOAJ |
| description | Abstract In this paper, we study the existence and uniqueness of solutions for two classes of boundary value problems for impulsive Caputo type fractional Hahn difference equations, by using the Banach contraction mapping principle and the nonlinear alternative of Leray–Schauder. The obtained results are well illustrated by examples. |
| first_indexed | 2024-12-12T23:07:10Z |
| format | Article |
| id | doaj.art-fb4ff6ad998c4b7b854bc20763fe58dc |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T23:07:10Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-fb4ff6ad998c4b7b854bc20763fe58dc2022-12-22T00:08:40ZengSpringerOpenAdvances in Difference Equations1687-18472019-06-012019111810.1186/s13662-019-2156-7Impulsive fractional quantum Hahn difference boundary value problemsJessada Tariboon0Sotiris K. Ntouyas1Bundit Sutthasin2Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokDepartment of Mathematics, University of IoanninaIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokAbstract In this paper, we study the existence and uniqueness of solutions for two classes of boundary value problems for impulsive Caputo type fractional Hahn difference equations, by using the Banach contraction mapping principle and the nonlinear alternative of Leray–Schauder. The obtained results are well illustrated by examples.http://link.springer.com/article/10.1186/s13662-019-2156-7Hahn difference equationsBoundary value problemsExistenceUniquenessFixed point theorems |
| spellingShingle | Jessada Tariboon Sotiris K. Ntouyas Bundit Sutthasin Impulsive fractional quantum Hahn difference boundary value problems Advances in Difference Equations Hahn difference equations Boundary value problems Existence Uniqueness Fixed point theorems |
| title | Impulsive fractional quantum Hahn difference boundary value problems |
| title_full | Impulsive fractional quantum Hahn difference boundary value problems |
| title_fullStr | Impulsive fractional quantum Hahn difference boundary value problems |
| title_full_unstemmed | Impulsive fractional quantum Hahn difference boundary value problems |
| title_short | Impulsive fractional quantum Hahn difference boundary value problems |
| title_sort | impulsive fractional quantum hahn difference boundary value problems |
| topic | Hahn difference equations Boundary value problems Existence Uniqueness Fixed point theorems |
| url | http://link.springer.com/article/10.1186/s13662-019-2156-7 |
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