RESULTS ON IMPULSIVE ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS
In this research article, we investigate the existence and uniqueness of solutions for a type of boundary value problems involving fractional integro-differential equations with the ψ-Caputo fractional derivative. Our method utilizes several classical fixed point theorems, such as the Banach contraction principle and Krasnoselskii's fixed point theorem. We establish our main results through theoretical analysis and present a specific case study to illustrate the practical significance of our findings.
Authors
- Marappan Sathish Kumar (ORCID: https://orcid.org/0000-0002-2756-0089)
- K. Venkatachalam
Publication Details
- Journal
- Bangmod International Journal of Mathematical and Computational Science
- Published
- 2024-10-02
- DOI
- https://doi.org/10.58715/bangmodjmcs.2024.10.5
- Citations
- 1
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.97