On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses
In this paper, we study the existence and uniqueness of solutions for impulsive Atangana-Baleanu-Caputo ABC fractional integro-differential equations with boundary conditions. Schaefer’s fixed point theorem and Banach contraction principle are used to prove the existence and uniqueness results. An e...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/5531984 |
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| author | Panjaiyan Karthikeyann Sadhasivam Poornima Kulandhaivel Karthikeyan Chanon Promsakon Thanin Sitthiwirattham |
| author_facet | Panjaiyan Karthikeyann Sadhasivam Poornima Kulandhaivel Karthikeyan Chanon Promsakon Thanin Sitthiwirattham |
| author_sort | Panjaiyan Karthikeyann |
| collection | DOAJ |
| description | In this paper, we study the existence and uniqueness of solutions for impulsive Atangana-Baleanu-Caputo ABC fractional integro-differential equations with boundary conditions. Schaefer’s fixed point theorem and Banach contraction principle are used to prove the existence and uniqueness results. An example is presented to illustrate the results. |
| format | Article |
| id | doaj-art-3760f807c75d404b94fd7a2dccfa98d4 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3760f807c75d404b94fd7a2dccfa98d42025-08-20T03:18:37ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/5531984On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and ImpulsesPanjaiyan Karthikeyann0Sadhasivam Poornima1Kulandhaivel Karthikeyan2Chanon Promsakon3Thanin Sitthiwirattham4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsResearch Group for Fractional Calculus Theory and ApplicationsIn this paper, we study the existence and uniqueness of solutions for impulsive Atangana-Baleanu-Caputo ABC fractional integro-differential equations with boundary conditions. Schaefer’s fixed point theorem and Banach contraction principle are used to prove the existence and uniqueness results. An example is presented to illustrate the results.http://dx.doi.org/10.1155/2024/5531984 |
| spellingShingle | Panjaiyan Karthikeyann Sadhasivam Poornima Kulandhaivel Karthikeyan Chanon Promsakon Thanin Sitthiwirattham On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses Journal of Mathematics |
| title | On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses |
| title_full | On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses |
| title_fullStr | On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses |
| title_full_unstemmed | On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses |
| title_short | On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses |
| title_sort | on implicit atangana baleanu caputo fractional integro differential equations with delay and impulses |
| url | http://dx.doi.org/10.1155/2024/5531984 |
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