PICARD'S METHOD OF SUCCESSIVE APPROXIMATION FOR FRACTIONAL ORDER INITIAL VALUE PROBLEM

被引：0

作者：

Mohan, Jag ^{[1
]}

Sood, Anju ^{[1
]}

机构：

[1] Sant Baba Bhag Singh Univ, Dept Phys Sci, Jalandhar, India

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2023年 / 30卷 / 04期

关键词：

Riemann-Liouville fractional order differential equations; Picard's method of successive approximation; initial value problem; existence; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; CALCULUS;

D O I：

10.17654/0974324323019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derived Picard's successive approximation technique for fractional differential systems in which the derivative has been taken in the Riemann-Liouville sense. We investigated the existence and uniqueness results of the present method. Two numerical examples are given to show the efficiency of the presented method.

引用

页码：345 / 361

页数：17

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