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

Jag Mohan; Anju Sood

Jag Mohan Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar, India
Anju Sood Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar, India

Article ID: 2419

Keywords: Riemann-Liouville fractional order differential equations; Picard’s method of successive approximation; initial value problem; existence

Abstract

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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