Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations
We consider a hybrid fractional sum-difference initial value problem and a hybrid fractional sequential sum-difference initial value problem. The existence results of these two problems are proved by using the hybrid fixed point theorem for three operators in a Banach algebra and the generalized Kra...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/5268528 |
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| _version_ | 1850169217558511616 |
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| author | Saowaluck Chasreechai Thanin Sitthiwirattham |
| author_facet | Saowaluck Chasreechai Thanin Sitthiwirattham |
| author_sort | Saowaluck Chasreechai |
| collection | DOAJ |
| description | We consider a hybrid fractional sum-difference initial value problem and a hybrid fractional sequential sum-difference initial value problem. The existence results of these two problems are proved by using the hybrid fixed point theorem for three operators in a Banach algebra and the generalized Krasnoselskii’s fixed point theorem, respectively. |
| format | Article |
| id | doaj-art-a63b425ea9244974844966c5e2d2e955 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a63b425ea9244974844966c5e2d2e9552025-08-20T02:20:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/52685285268528Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference EquationsSaowaluck Chasreechai0Thanin Sitthiwirattham1Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, ThailandMathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, ThailandWe consider a hybrid fractional sum-difference initial value problem and a hybrid fractional sequential sum-difference initial value problem. The existence results of these two problems are proved by using the hybrid fixed point theorem for three operators in a Banach algebra and the generalized Krasnoselskii’s fixed point theorem, respectively.http://dx.doi.org/10.1155/2018/5268528 |
| spellingShingle | Saowaluck Chasreechai Thanin Sitthiwirattham Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations Discrete Dynamics in Nature and Society |
| title | Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations |
| title_full | Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations |
| title_fullStr | Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations |
| title_full_unstemmed | Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations |
| title_short | Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations |
| title_sort | existence results of initial value problems for hybrid fractional sum difference equations |
| url | http://dx.doi.org/10.1155/2018/5268528 |
| work_keys_str_mv | AT saowaluckchasreechai existenceresultsofinitialvalueproblemsforhybridfractionalsumdifferenceequations AT thaninsitthiwirattham existenceresultsofinitialvalueproblemsforhybridfractionalsumdifferenceequations |