Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions
In this paper, we investigate the solutions of coupled fractional pantograph differential equations with instantaneous impulses. The work improves some existing results and contributes toward the development of the fractional differential equation theory. We first provide some definitions that will...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6616899 |
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| _version_ | 1849469524900839424 |
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| author | Karim Guida Lahcen Ibnelazyz Khalid Hilal Said Melliani |
| author_facet | Karim Guida Lahcen Ibnelazyz Khalid Hilal Said Melliani |
| author_sort | Karim Guida |
| collection | DOAJ |
| description | In this paper, we investigate the solutions of coupled fractional pantograph differential equations with instantaneous impulses. The work improves some existing results and contributes toward the development of the fractional differential equation theory. We first provide some definitions that will be used throughout the paper; after that, we give the existence and uniqueness results that are based on Banach’s contraction principle and Krasnoselskii’s fixed point theorem. Two examples are given in the last part to support our study. |
| format | Article |
| id | doaj-art-fd5481b768dd423f965d8dc6d3358d24 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-fd5481b768dd423f965d8dc6d3358d242025-08-20T03:25:26ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66168996616899Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary ConditionsKarim Guida0Lahcen Ibnelazyz1Khalid Hilal2Said Melliani3Laboratoire de Mathematiques Appliquées et Calcul Scientifique, Sultan Moulay Slimane University, Beni Mellal, MoroccoLaboratoire de Mathematiques Appliquées et Calcul Scientifique, Sultan Moulay Slimane University, Beni Mellal, MoroccoLaboratoire de Mathematiques Appliquées et Calcul Scientifique, Sultan Moulay Slimane University, Beni Mellal, MoroccoLaboratoire de Mathematiques Appliquées et Calcul Scientifique, Sultan Moulay Slimane University, Beni Mellal, MoroccoIn this paper, we investigate the solutions of coupled fractional pantograph differential equations with instantaneous impulses. The work improves some existing results and contributes toward the development of the fractional differential equation theory. We first provide some definitions that will be used throughout the paper; after that, we give the existence and uniqueness results that are based on Banach’s contraction principle and Krasnoselskii’s fixed point theorem. Two examples are given in the last part to support our study.http://dx.doi.org/10.1155/2021/6616899 |
| spellingShingle | Karim Guida Lahcen Ibnelazyz Khalid Hilal Said Melliani Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions Advances in Mathematical Physics |
| title | Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions |
| title_full | Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions |
| title_fullStr | Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions |
| title_full_unstemmed | Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions |
| title_short | Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions |
| title_sort | existence and uniqueness of solutions for coupled impulsive fractional pantograph differential equations with antiperiodic boundary conditions |
| url | http://dx.doi.org/10.1155/2021/6616899 |
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