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.
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页码：345 / 361
页数：17
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