Khalouta transform and applications to Caputo-fractional differential equations

被引：9

作者：

Kumawat, Nikita ^{[1
]}

Shukla, Akanksha ^{[2
]}

Mishra, Manvendra Narayan ^{[1
]}

Sharma, Rahul ^{[3
]}

Dubey, Ravi Shanker ^{[4
]}

机构：

[1] Suresh Gyan Vihar Univ, Dept Math, Jaipur, Rajasthan, India

[2] Biyani Girls Coll, Dept Math, Jaipur, Rajasthan, India

[3] Univ Engn & Management Jaipur, Dept Math, Jaipur, Rajasthan, India

[4] Amity Univ Rajasthan, Amity Sch Appl Sci, Dept Math, Jaipur, Rajasthan, India

来源：

FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS | 2024年 / 10卷

关键词：

fractional differential equation; Riemann fractional derivative; Caputo fractional derivative; Mittag-Leffler function; Khalouta transfom; MODEL;

D O I：

10.3389/fams.2024.1351526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative. We discuss some results and the existence of this integral transform. In addition, we also discuss the duality between Shehu transform and Khalouta transform. The numerical examples are provided to confirm the applicability and correctness of the proposed method for solving fractional differential equations.2010 Mathematics Classification Primary 92B05, 92C60; Secondary 26A33.

引用

页数：10

共 49 条

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