Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

B. P. Moghaddam (Autor) Outra; A. Dabiri (Autor) Outra; António M. Lopes (Autor) FEUP; J. A. Tenreiro Machado (Autor) Outra

Revista

Título: COMPUTATIONAL & APPLIED MATHEMATICS

Vol. 38 Nº 2

Páginas: 1-12

ISSN: 1807-0302

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 9 Citações

Outras Informações

ID Authenticus: P-00Q-AE8

DOI: 10.1007/s40314-019-0813-9

Abstract (EN): There is an increasing interest in the field of functional and fractional differential equations. The lack of closed-form analytical solutions motivates the development of numerical methods for solving mixed-type fractional-order functional differential equations (MFFDEs) with retarded and neutral terms. This paper studies the solution of MFFDEs by a collocation technique with modified Lucas polynomials. The proposed method uses operational matrices to obtain an approximate solution by means of a system of linear algebraic equations. The accuracy of the proposed algorithm is verified with three illustrative examples.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12