广义拉普拉斯变换和调质后的ψ-卡普托分数阶导数

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2023-01-19 DOI:10.3846/mma.2023.16370

M. Medved', M. Pospíšil

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引用次数: 3

摘要

本文导出了广义拉普拉斯变换下的回火Ψ-Hilfer分数阶积分和回火Ψ-Caputo分数阶导数的图像。应用所得结果，求出了一个非齐次线性分数阶微分方程初值问题的解，该初值问题为:对于n−1 <α本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Laplace transform and tempered ψ-Caputo fractional derivative

In this paper, images of the tempered Ψ-Hilfer fractional integral and the tempered Ψ-Caputo fractional derivative under the generalized Laplace transform are derived. The results are applied to find a solution to an initial value problem for a nonhomogeneous linear fractional differential equation with the tempered Ψ-Caputo fractional derivative of an order α for n− 1 <α

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