Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing Function
The main concentration of the present research is to explore several theoretical criteria for proving the existence results for the suggested boundary problem. In fact, for the first time, we formulate a new hybrid fractional differential inclusion in the φ-Caputo settings depending on an increasing...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4512223 |
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| author | Sh. Rezapour M. Q. Iqbal A. Hussain A. Zada S. Etemad |
| author_facet | Sh. Rezapour M. Q. Iqbal A. Hussain A. Zada S. Etemad |
| author_sort | Sh. Rezapour |
| collection | DOAJ |
| description | The main concentration of the present research is to explore several theoretical criteria for proving the existence results for the suggested boundary problem. In fact, for the first time, we formulate a new hybrid fractional differential inclusion in the φ-Caputo settings depending on an increasing function φ subject to separated mixed φ-hybrid-integro-derivative boundary conditions. In addition to this, we discuss a special case of the proposed φ-inclusion problem in the non-φ-hybrid structure with the help of the endpoint notion. To confirm the consistency of our findings, two specific numerical examples are provided which simulate both φ-hybrid and non-φ-hybrid cases. |
| format | Article |
| id | doaj-art-38ec2c850b964a8aaf0d61ddf0c61e1d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-38ec2c850b964a8aaf0d61ddf0c61e1d2025-08-20T03:55:11ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/45122234512223Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing FunctionSh. Rezapour0M. Q. Iqbal1A. Hussain2A. Zada3S. Etemad4Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, TaiwanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Peshawar, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranThe main concentration of the present research is to explore several theoretical criteria for proving the existence results for the suggested boundary problem. In fact, for the first time, we formulate a new hybrid fractional differential inclusion in the φ-Caputo settings depending on an increasing function φ subject to separated mixed φ-hybrid-integro-derivative boundary conditions. In addition to this, we discuss a special case of the proposed φ-inclusion problem in the non-φ-hybrid structure with the help of the endpoint notion. To confirm the consistency of our findings, two specific numerical examples are provided which simulate both φ-hybrid and non-φ-hybrid cases.http://dx.doi.org/10.1155/2021/4512223 |
| spellingShingle | Sh. Rezapour M. Q. Iqbal A. Hussain A. Zada S. Etemad Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing Function Journal of Function Spaces |
| title | Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing Function |
| title_full | Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing Function |
| title_fullStr | Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing Function |
| title_full_unstemmed | Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing Function |
| title_short | Fixed Point and Endpoint Theories for Two Hybrid Fractional Differential Inclusions with Operators Depending on an Increasing Function |
| title_sort | fixed point and endpoint theories for two hybrid fractional differential inclusions with operators depending on an increasing function |
| url | http://dx.doi.org/10.1155/2021/4512223 |
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