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Symmetry 2019, 11(2), 216; https://doi.org/10.3390/sym11020216

A Novel Computational Technique for Impulsive Fractional Differential Equations

College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China
Received: 24 December 2018 / Revised: 23 January 2019 / Accepted: 25 January 2019 / Published: 13 February 2019
(This article belongs to the Special Issue Symmetry and Complexity 2019)
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Abstract

A computational technique for impulsive fractional differential equations is proposed in this paper. Adomian decomposition method plays an efficient role for approximate analytical solutions for ordinary or fractional calculus. Semi-analytical method is proposed by use of the Adomian polynomials. The method successively updates the initial values and gives the numerical solutions on different impulsive intervals. As one of the numerical examples, an impulsive fractional logistic differential equation is given to illustrate the method. View Full-Text
Keywords: fractional derivative; Adomian method; computational technique fractional derivative; Adomian method; computational technique
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Ma, C. A Novel Computational Technique for Impulsive Fractional Differential Equations. Symmetry 2019, 11, 216.

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