Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions
We study a class of fractional q-integrodifference equations with nonlocal fractional q-integral boundary conditions which have different quantum numbers. By applying the Banach contraction principle, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative, the existence and un...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/474138 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567190936616960 |
|---|---|
| author | Suphawat Asawasamrit Jessada Tariboon Sotiris K. Ntouyas |
| author_facet | Suphawat Asawasamrit Jessada Tariboon Sotiris K. Ntouyas |
| author_sort | Suphawat Asawasamrit |
| collection | DOAJ |
| description | We study a class of fractional q-integrodifference equations with nonlocal fractional q-integral boundary conditions which have different quantum numbers. By applying the Banach contraction principle, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative, the existence and uniqueness of solutions are obtained. In addition, some examples to illustrate our results are given. |
| format | Article |
| id | doaj-art-b9af5eb2c6fe450abde374a14685af2e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b9af5eb2c6fe450abde374a14685af2e2025-02-03T01:02:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/474138474138Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral ConditionsSuphawat Asawasamrit0Jessada Tariboon1Sotiris K. Ntouyas2Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceWe study a class of fractional q-integrodifference equations with nonlocal fractional q-integral boundary conditions which have different quantum numbers. By applying the Banach contraction principle, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative, the existence and uniqueness of solutions are obtained. In addition, some examples to illustrate our results are given.http://dx.doi.org/10.1155/2014/474138 |
| spellingShingle | Suphawat Asawasamrit Jessada Tariboon Sotiris K. Ntouyas Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions Abstract and Applied Analysis |
| title | Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions |
| title_full | Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions |
| title_fullStr | Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions |
| title_full_unstemmed | Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions |
| title_short | Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions |
| title_sort | existence of solutions for fractional q integrodifference equations with nonlocal fractional q integral conditions |
| url | http://dx.doi.org/10.1155/2014/474138 |
| work_keys_str_mv | AT suphawatasawasamrit existenceofsolutionsforfractionalqintegrodifferenceequationswithnonlocalfractionalqintegralconditions AT jessadatariboon existenceofsolutionsforfractionalqintegrodifferenceequationswithnonlocalfractionalqintegralconditions AT sotiriskntouyas existenceofsolutionsforfractionalqintegrodifferenceequationswithnonlocalfractionalqintegralconditions |