Generalized Sumudu transform and tempered ξ-Caputo fractional derivative

被引：0

作者：

Elkhalloufy, Khadija ^{[1
]}

Hilal, Khalid ^{[1
]}

Kajouni, Ahmed ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal 23000, Morocco

来源：

FILOMAT | 2024年 / 38卷 / 26期

关键词：

Sumudu transform; tempered xi-fractional derivative; initial value problem; DIFFERENTIAL-EQUATIONS;

D O I：

10.2298/FIL2426213E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper applied the generalized Sumudu transform to the tempered xi-Hilfer fractional integral and the tempered xi-Caputo fractional derivative. Our findings are utilized to address non homogeneous linear fractional differential equations in an initial value problem involving the tempered xi-Caputo fractional derivative of an order zeta for n - 1 < zeta < n is an element of N. An example is provided for 0 < zeta < 1.

引用

页码：9213 / 9221

页数：9

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