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 and Ravi P. Agarwal
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Pshtiwan Othman Mohammed: Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq
José António Tenreiro Machado: Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal
Juan L. G. Guirao: Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, 30203 Cartagena, Spain
Ravi P. Agarwal: Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USA

Mathematics, 2021, vol. 9, issue 9, 1-18

Abstract: 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.

Keywords: Adomian decomposition method; fractional power series method; nonlinear fractional differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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