Existence and uniqueness results of the AB-Caputo type derivative in impulsive fractional differential equations
In this work, we study the fractional differential equations solutions of Atangana-Baleanu-Caputo, which are subject to integral and impulsive boundary conditions. In addition, the Banach Contraction Mapping Principle and the Krasnoselskii fixed point theorems are employed for showing the existence and uniqueness of the theorems. An illustration is provided to support the outcomes of the results.
Authors
- Belal Batiha (ORCID: https://orcid.org/0000-0002-2393-4418)
- Barakah Almarri (ORCID: https://orcid.org/0000-0002-2878-5300)
- Omar Bazighifan (ORCID: https://orcid.org/0000-0002-7251-9608)
- Marappan Sathish Kumar (ORCID: https://orcid.org/0000-0002-2756-0089)
- K. Venkatachalam
Publication Details
- Journal
- Journal of Mathematics and Computer Science
- Published
- 2025-04-16
- DOI
- https://doi.org/10.22436/jmcs.039.04.01
- Citations
- 1
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 3.73