Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses
Abstract In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative$ initial conditions. By employing Banach’...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-024-01958-9 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832594526028431360 |
|---|---|
| author | Mesfin Teshome Beyene Mitiku Daba Firdi Tamirat Temesgen Dufera |
| author_facet | Mesfin Teshome Beyene Mitiku Daba Firdi Tamirat Temesgen Dufera |
| author_sort | Mesfin Teshome Beyene |
| collection | DOAJ |
| description | Abstract In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative$ initial conditions. By employing Banach’s and Schaefer’s fixed-point theorems, we attain the required results. Finally, we provide examples that support the main findings we arrived at. |
| format | Article |
| id | doaj-art-063f2cff9f284a58982c2ec2e66a34b4 |
| institution | Kabale University |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-063f2cff9f284a58982c2ec2e66a34b42025-01-19T12:33:18ZengSpringerOpenBoundary Value Problems1687-27702025-01-012025111910.1186/s13661-024-01958-9Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulsesMesfin Teshome Beyene0Mitiku Daba Firdi1Tamirat Temesgen Dufera2Department of Mathematics, Bule Hora UniversityDepartment of Applied Mathematics, Adama Science & Technology UniversityDepartment of Applied Mathematics, Adama Science & Technology UniversityAbstract In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative$ initial conditions. By employing Banach’s and Schaefer’s fixed-point theorems, we attain the required results. Finally, we provide examples that support the main findings we arrived at.https://doi.org/10.1186/s13661-024-01958-9Caputo–Hadamard derivativeNoninstantaneous impulsesExistence and uniquenessUlam–Hyers stability |
| spellingShingle | Mesfin Teshome Beyene Mitiku Daba Firdi Tamirat Temesgen Dufera Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses Boundary Value Problems Caputo–Hadamard derivative Noninstantaneous impulses Existence and uniqueness Ulam–Hyers stability |
| title | Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses |
| title_full | Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses |
| title_fullStr | Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses |
| title_full_unstemmed | Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses |
| title_short | Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses |
| title_sort | existence and ulam hyers stability results for caputo hadamard fractional differential equations with non instantaneous impulses |
| topic | Caputo–Hadamard derivative Noninstantaneous impulses Existence and uniqueness Ulam–Hyers stability |
| url | https://doi.org/10.1186/s13661-024-01958-9 |
| work_keys_str_mv | AT mesfinteshomebeyene existenceandulamhyersstabilityresultsforcaputohadamardfractionaldifferentialequationswithnoninstantaneousimpulses AT mitikudabafirdi existenceandulamhyersstabilityresultsforcaputohadamardfractionaldifferentialequationswithnoninstantaneousimpulses AT tamirattemesgendufera existenceandulamhyersstabilityresultsforcaputohadamardfractionaldifferentialequationswithnoninstantaneousimpulses |