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

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
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article

RESULTS ON IMPULSIVE ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS

Marappan Sathish Kumar, K. Venkatachalam
1 citations
Bangmod International Journal of Mathematical and Computational Science
Nonlinear Differential Equations Analysis
0.97
article

RESULTS ON IMPULSIVE ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS

Marappan Sathish Kumar, K. Venkatachalam
article en
1 citations

Abstract

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.

Bangmod International Journal of Mathematical and Computational ScienceVol. 10
Openalex Percentile: Top 25%
Nonlinear Differential Equations Analysis
0.97
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