Temporal discretization for Caputo-Hadamard fractional derivative with incomplete Gamma function via Whittaker function

被引：12

作者：

Toh, Yoke Teng ^{[1
,2
]}

Phang, Chang ^{[1
]}

Ng, Yong Xian ^{[1
]}

机构：

[1] Univ Tun Hussein Onn Malaysia, Dept Math & Stat, Pagoh Campus, Pagoh, Malaysia

[2] Univ Tun Hussein Onn Malaysia, Fac Civil Engn & Built Environm, Parit Raja, Malaysia

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 08期

关键词：

Temporal discretization; Caputo-Hadamard fractional derivative; Incomplete Gamma function; Whittaker M function; Fractional differential equation; DIFFERENTIAL-EQUATIONS; EXISTENCE; SYSTEMS;

D O I：

10.1007/s40314-021-01673-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a new scheme for the temporal discretization of the new Caputo-Hadamard fractional derivative in the form of incomplete gmma function via Whittaker M function. We derive the truncation error for the new scheme. Hence, this discretization was used to solve numerically fractional ordinary differential equation and fractional partial differential equation in the Caputo-Hadamard sense for the order, alpha epsilon (0, 1). The numerical results show that the method is highly effective and efficient.

引用

页数：19

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