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Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
Journal article   Open access  Peer reviewed

Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations

Pshtiwan Othman Mohammed, Jose Antonio Tenreiro Machado, Juan L. G. Guirao and Ravi P. Agarwal
Mathematics (Basel), Vol.9(9), p.1070
01/05/2021
DOI: https://doi.org/10.3390/math9091070

Abstract

Mathematics Physical Sciences Science & Technology
Nonlinear fractional differential equations reflect the true nature of physical and biological models with non-locality and memory effects. This paper considers nonlinear fractional differential equations with unknown analytical solutions. The Adomian decomposition and the fractional power series methods are adopted to approximate the solutions. The two approaches are illustrated and compared by means of four numerical examples.
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https://doi.org/10.3390/math9091070View
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