Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations
Abstract In this paper, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem, we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of Hadamard fractional differential equations.
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SpringerOpen
2017-10-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1391-z |
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doaj-1884054e45ef4133b7c13ebaf10263cc2020-11-24T21:53:03ZengSpringerOpenAdvances in Difference Equations1687-18472017-10-012017111110.1186/s13662-017-1391-zWeak solutions for a coupled system of Pettis-Hadamard fractional differential equationsSaïda Abbas0Mouffak Benchohra1Yong Zhou2Ahmed Alsaedi3Laboratory of Mathematics, University of SaïdaLaboratory of Mathematics, University of Sidi Bel-AbbesFaculty of Mathematics and Computational Science, Xiangtan UniversityNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz UniversityAbstract In this paper, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem, we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of Hadamard fractional differential equations.http://link.springer.com/article/10.1186/s13662-017-1391-zfunctional integral equationcoupled systempartial Pettis-Hadamard fractional integralmeasure of weak noncompactnessweak solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Saïda Abbas Mouffak Benchohra Yong Zhou Ahmed Alsaedi |
| spellingShingle |
Saïda Abbas Mouffak Benchohra Yong Zhou Ahmed Alsaedi Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations Advances in Difference Equations functional integral equation coupled system partial Pettis-Hadamard fractional integral measure of weak noncompactness weak solution |
| author_facet |
Saïda Abbas Mouffak Benchohra Yong Zhou Ahmed Alsaedi |
| author_sort |
Saïda Abbas |
| title |
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations |
| title_short |
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations |
| title_full |
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations |
| title_fullStr |
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations |
| title_full_unstemmed |
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations |
| title_sort |
weak solutions for a coupled system of pettis-hadamard fractional differential equations |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2017-10-01 |
| description |
Abstract In this paper, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem, we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of Hadamard fractional differential equations. |
| topic |
functional integral equation coupled system partial Pettis-Hadamard fractional integral measure of weak noncompactness weak solution |
| url |
http://link.springer.com/article/10.1186/s13662-017-1391-z |
| work_keys_str_mv |
AT saidaabbas weaksolutionsforacoupledsystemofpettishadamardfractionaldifferentialequations AT mouffakbenchohra weaksolutionsforacoupledsystemofpettishadamardfractionaldifferentialequations AT yongzhou weaksolutionsforacoupledsystemofpettishadamardfractionaldifferentialequations AT ahmedalsaedi weaksolutionsforacoupledsystemofpettishadamardfractionaldifferentialequations |
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