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

Pshtiwan Othman Mohammed, José António Tenreiro Machado, Juan L. G. Guirao, Ravi P. Agarwal
2021 Mathematics  
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.
doi:10.3390/math9091070 fatcat:imre7jripbcgxckyx5xmnwrffy