On Solution of Non-Linear Fde Under Tempered Ψ-Caputo Derivative for the First-Order and Three-Point Boundary Conditions
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Date
2024
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Publisher
E.A. Buketov Karaganda University Publish house
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Abstract
In this article, the existence and uniqueness of solutions for non-linear fractional differential equation with Tempered Ψ-Caputo derivative with three-point boundary conditions were studied. The existence and uniqueness of the solution were proved by applying the Banach contraction mapping principle and Schaefer's fixed point theorem. © 2024 The Authors.
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Keywords
Fractional Differential Equations, Nonlinear Analysis, Schaefer'S Fixed Point Theorem, Banach Contraction, Tempered Ψ-Caputo Derivative
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0
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Q3
Source
Bulletin of the Karaganda University. Mathematics Series
Volume
116
Issue
4
Start Page
41
End Page
56