Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies
Abstract In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak noncompactness.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1787-4 |
| _version_ | 1818143969572290560 |
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| author | Saïd Abbas Mouffak Benchohra Naima Hamidi Yong Zhou |
| author_facet | Saïd Abbas Mouffak Benchohra Naima Hamidi Yong Zhou |
| author_sort | Saïd Abbas |
| collection | DOAJ |
| description | Abstract In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak noncompactness. |
| first_indexed | 2024-12-11T11:40:07Z |
| format | Article |
| id | doaj.art-9148c9fd03294db2a5249b012e99792e |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-11T11:40:07Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-9148c9fd03294db2a5249b012e99792e2022-12-22T01:08:37ZengSpringerOpenAdvances in Difference Equations1687-18472018-09-012018111710.1186/s13662-018-1787-4Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologiesSaïd Abbas0Mouffak Benchohra1Naima Hamidi2Yong Zhou3Laboratory of Mathematics, Geometry, Analysis, Control and Applications, Tahar Moulay University of SaïdaLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-AbbèsLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-AbbèsFaculty of Mathematics and Computational Science, Xiangtan UniversityAbstract In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak noncompactness.http://link.springer.com/article/10.1186/s13662-018-1787-4Coupled fractional differential systemLeft-sided mixed Pettis–Hadamard integral of fractional orderHilfer–Hadamard fractional derivativeWeak solutionImplicitFixed point |
| spellingShingle | Saïd Abbas Mouffak Benchohra Naima Hamidi Yong Zhou Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies Advances in Difference Equations Coupled fractional differential system Left-sided mixed Pettis–Hadamard integral of fractional order Hilfer–Hadamard fractional derivative Weak solution Implicit Fixed point |
| title | Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies |
| title_full | Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies |
| title_fullStr | Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies |
| title_full_unstemmed | Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies |
| title_short | Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies |
| title_sort | implicit coupled hilfer hadamard fractional differential systems under weak topologies |
| topic | Coupled fractional differential system Left-sided mixed Pettis–Hadamard integral of fractional order Hilfer–Hadamard fractional derivative Weak solution Implicit Fixed point |
| url | http://link.springer.com/article/10.1186/s13662-018-1787-4 |
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