1. A Novel Computational Technique for Impulsive Fractional Differential Equations
- Author
-
Changyou Ma
- Subjects
Physics and Astronomy (miscellaneous) ,Differential equation ,lcsh:Mathematics ,General Mathematics ,010102 general mathematics ,Adomian method ,fractional derivative ,lcsh:QA1-939 ,computational technique ,01 natural sciences ,Fractional calculus ,Computational Technique ,Chemistry (miscellaneous) ,0103 physical sciences ,Computer Science (miscellaneous) ,Applied mathematics ,0101 mathematics ,Fractional differential ,010306 general physics ,Adomian decomposition method ,Mathematics - 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.
- Published
- 2019
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