Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations
We study sufficient conditions for existence of solutions to the coupled systems of higher order hybrid fractional differential equations with three-point boundary conditions. For this motive, we apply the coupled fixed point theorem of Krasnoselskii type to form adequate conditions for existence of...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/5937572 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850209041512398848 |
|---|---|
| author | Wiyada Kumam Mian Bahadur Zada Kamal Shah Rahmat Ali Khan |
| author_facet | Wiyada Kumam Mian Bahadur Zada Kamal Shah Rahmat Ali Khan |
| author_sort | Wiyada Kumam |
| collection | DOAJ |
| description | We study sufficient conditions for existence of solutions to the coupled systems of higher order hybrid fractional differential equations with three-point boundary conditions. For this motive, we apply the coupled fixed point theorem of Krasnoselskii type to form adequate conditions for existence of solutions to the proposed system. We finish the paper with suitable illustrative example. |
| format | Article |
| id | doaj-art-97a9d3bfb0404df9bfe54204c8476972 |
| 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-97a9d3bfb0404df9bfe54204c84769722025-08-20T02:10:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/59375725937572Investigating a Coupled Hybrid System of Nonlinear Fractional Differential EquationsWiyada Kumam0Mian Bahadur Zada1Kamal Shah2Rahmat Ali Khan3Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Thanyaburi, Pathum Thani 12110, ThailandDepartment of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, PakistanWe study sufficient conditions for existence of solutions to the coupled systems of higher order hybrid fractional differential equations with three-point boundary conditions. For this motive, we apply the coupled fixed point theorem of Krasnoselskii type to form adequate conditions for existence of solutions to the proposed system. We finish the paper with suitable illustrative example.http://dx.doi.org/10.1155/2018/5937572 |
| spellingShingle | Wiyada Kumam Mian Bahadur Zada Kamal Shah Rahmat Ali Khan Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations Discrete Dynamics in Nature and Society |
| title | Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations |
| title_full | Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations |
| title_fullStr | Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations |
| title_full_unstemmed | Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations |
| title_short | Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations |
| title_sort | investigating a coupled hybrid system of nonlinear fractional differential equations |
| url | http://dx.doi.org/10.1155/2018/5937572 |
| work_keys_str_mv | AT wiyadakumam investigatingacoupledhybridsystemofnonlinearfractionaldifferentialequations AT mianbahadurzada investigatingacoupledhybridsystemofnonlinearfractionaldifferentialequations AT kamalshah investigatingacoupledhybridsystemofnonlinearfractionaldifferentialequations AT rahmatalikhan investigatingacoupledhybridsystemofnonlinearfractionaldifferentialequations |