Conference Paper
Year 2024,
Volume: 28, 360 - 374, 01.08.2024
Abstract
References
- Awad, Y. & Chehade, H. (2024). Analysis of solutions for nonlinear ψ-caputo fractional differential equations with fractional derivative boundary conditions in banach algebra. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 360-374.
Analysis of Solutions for Nonlinear ψ-Caputo Fractional Differential Equations with Fractional Derivative Boundary Conditions in Banach Algebra
Abstract
This article explores the solutions of nonlinear implicit ψ-Caputo fractional-order ordinary differential equations (NLIFDEs) with two-point fractional derivatives boundary conditions in Banach algebra. The research aims to establish the existence and uniqueness of solutions for this complex class of differential equations. Utilizing Banach’s and Krasnoselskii’s fixed point theorems, the study conducts a rigorous analysis of the solutions, ensuring their existence and uniqueness. This comprehensive investigation contributes to enhancing the understanding of the behavior of solutions of nonlinear fractional differentials within a challenging mathematical framework.
References
- Awad, Y. & Chehade, H. (2024). Analysis of solutions for nonlinear ψ-caputo fractional differential equations with fractional derivative boundary conditions in banach algebra. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 360-374.
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Details
| Primary Language | English |
|---|---|
| Subjects | Software Engineering (Other) |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | July 29, 2024 |
| Publication Date | August 1, 2024 |
| Submission Date | February 8, 2024 |
| Acceptance Date | April 22, 2024 |
| Published in Issue | Year 2024Volume: 28 |
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