Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations
The study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. Our aim in this paper is to study the existence and uniqueness of the solution for impulsive hybrid fractional differential equation...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2019/2618982 |
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| _version_ | 1832552540550463488 |
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| author | Mohamed Hannabou Hilal Khalid |
| author_facet | Mohamed Hannabou Hilal Khalid |
| author_sort | Mohamed Hannabou |
| collection | DOAJ |
| description | The study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. Our aim in this paper is to study the existence and uniqueness of the solution for impulsive hybrid fractional differential equations. The novelty of this work is the study of a coupled system of impulsive hybrid fractional differential equations with initial and boundary hybrid conditions. We used the classical fixed-point theorems such as the Banach fixed-point theorem and Leray–Schauder alternative fixed-point theorem for existence results. We also give an example of the main results. |
| format | Article |
| id | doaj-art-f7352b9e7e6e4c93b29f82c2a3d01adc |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-f7352b9e7e6e4c93b29f82c2a3d01adc2025-02-03T05:58:28ZengWileyInternational Journal of Differential Equations1687-96431687-96512019-01-01201910.1155/2019/26189822618982Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential EquationsMohamed Hannabou0Hilal Khalid1Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, BP 523, 23000 Beni-Mellal, MoroccoLaboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, BP 523, 23000 Beni-Mellal, MoroccoThe study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. Our aim in this paper is to study the existence and uniqueness of the solution for impulsive hybrid fractional differential equations. The novelty of this work is the study of a coupled system of impulsive hybrid fractional differential equations with initial and boundary hybrid conditions. We used the classical fixed-point theorems such as the Banach fixed-point theorem and Leray–Schauder alternative fixed-point theorem for existence results. We also give an example of the main results.http://dx.doi.org/10.1155/2019/2618982 |
| spellingShingle | Mohamed Hannabou Hilal Khalid Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations International Journal of Differential Equations |
| title | Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations |
| title_full | Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations |
| title_fullStr | Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations |
| title_full_unstemmed | Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations |
| title_short | Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations |
| title_sort | investigation of a mild solution to coupled systems of impulsive hybrid fractional differential equations |
| url | http://dx.doi.org/10.1155/2019/2618982 |
| work_keys_str_mv | AT mohamedhannabou investigationofamildsolutiontocoupledsystemsofimpulsivehybridfractionaldifferentialequations AT hilalkhalid investigationofamildsolutiontocoupledsystemsofimpulsivehybridfractionaldifferentialequations |