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

Mohammed, Pshtiwan Othman; Machado, J. A. Tenreiro; Guirao, Juan L. G.; Agarwal, Ravi P.

http://hdl.handle.net/10400.22/18649

Utilize este identificador para referenciar este registo.

Nome:	Descrição:	Tamanho:	Formato:
ART_DEE_JTM_Mathematics_2021.pdf		342.82 KB	Adobe PDF	Ver/Abrir

Contacte-nos

Autores

Mohammed, Pshtiwan Othman

Machado, J. A. Tenreiro

Guirao, Juan L. G.

Agarwal, Ravi P.

Resumo(s)

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.

Palavras-chave

Adomian decomposition method Fractional power series method Nonlinear fractional differential equations

URI

http://hdl.handle.net/10400.22/18649

Editora

MDPI

DOI

10.3390/math9091070

Coleções

ISEP - DEE - Artigos

Licença CC

cclicense-by-nc-nd

Métricas Alternativas

Ver registo completo