Results on non local impulsive implicit Caputo-Hadamard fractional differential equations
The results for a new modeling integral boundary value problem using Caputo-Hadamard impulsive implicit fractional differential equations with Banach space are investigated, along with the existence and uniqueness of solutions. The Krasnoselskii fixed-point theorem, Schaefer's fixed point theor...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-09-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2024023 |
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| author | K. Venkatachalam M. Sathish Kumar P. Jayakumar |
| author_facet | K. Venkatachalam M. Sathish Kumar P. Jayakumar |
| author_sort | K. Venkatachalam |
| collection | DOAJ |
| description | The results for a new modeling integral boundary value problem using Caputo-Hadamard impulsive implicit fractional differential equations with Banach space are investigated, along with the existence and uniqueness of solutions. The Krasnoselskii fixed-point theorem, Schaefer's fixed point theorem and the Banach contraction principle serve as the basis of this unique strategy, and are used to achieve the desired results. We develop the illustrated examples at the end of the paper to support the validity of the theoretical statements. |
| format | Article |
| id | doaj-art-79633dd579624b7c8ac2d1796a954c1a |
| institution | Kabale University |
| issn | 2767-8946 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-79633dd579624b7c8ac2d1796a954c1a2025-01-24T01:02:08ZengAIMS PressMathematical Modelling and Control2767-89462024-09-014328629610.3934/mmc.2024023Results on non local impulsive implicit Caputo-Hadamard fractional differential equationsK. Venkatachalam0M. Sathish Kumar1P. Jayakumar2Department of Mathematics, Nandha Engineering College (Autonomous), Erode 638052, Tamil Nadu, IndiaDepartment of Mathematics, Paavai Engineering College (Autonomous), Namakkal 637018, Tamil Nadu, IndiaDepartment of Mathematics, Paavai Engineering College (Autonomous), Namakkal 637018, Tamil Nadu, IndiaThe results for a new modeling integral boundary value problem using Caputo-Hadamard impulsive implicit fractional differential equations with Banach space are investigated, along with the existence and uniqueness of solutions. The Krasnoselskii fixed-point theorem, Schaefer's fixed point theorem and the Banach contraction principle serve as the basis of this unique strategy, and are used to achieve the desired results. We develop the illustrated examples at the end of the paper to support the validity of the theoretical statements.https://www.aimspress.com/article/doi/10.3934/mmc.2024023fractional differential equationcaputo-hadamardexistenceuniquenessfixed point theorems |
| spellingShingle | K. Venkatachalam M. Sathish Kumar P. Jayakumar Results on non local impulsive implicit Caputo-Hadamard fractional differential equations Mathematical Modelling and Control fractional differential equation caputo-hadamard existence uniqueness fixed point theorems |
| title | Results on non local impulsive implicit Caputo-Hadamard fractional differential equations |
| title_full | Results on non local impulsive implicit Caputo-Hadamard fractional differential equations |
| title_fullStr | Results on non local impulsive implicit Caputo-Hadamard fractional differential equations |
| title_full_unstemmed | Results on non local impulsive implicit Caputo-Hadamard fractional differential equations |
| title_short | Results on non local impulsive implicit Caputo-Hadamard fractional differential equations |
| title_sort | results on non local impulsive implicit caputo hadamard fractional differential equations |
| topic | fractional differential equation caputo-hadamard existence uniqueness fixed point theorems |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2024023 |
| work_keys_str_mv | AT kvenkatachalam resultsonnonlocalimpulsiveimplicitcaputohadamardfractionaldifferentialequations AT msathishkumar resultsonnonlocalimpulsiveimplicitcaputohadamardfractionaldifferentialequations AT pjayakumar resultsonnonlocalimpulsiveimplicitcaputohadamardfractionaldifferentialequations |