Spectral Tau method for solving general fractional order differential equations with linear functional argument

Autor: Kamal R. Raslan, Mohamed A. Abd El salam, Khalid K. Ali, Emad M. Mohamed
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of the Egyptian Mathematical Society, Vol 27, Iss 1, Pp 1-16 (2019)
Druh dokumentu: article
ISSN: 2090-9128
DOI: 10.1186/s42787-019-0039-4
Popis: Abstract In this paper, a numerical technique for solving new generalized fractional order differential equations with linear functional argument is presented. The spectral Tau method is extended to study this problem, where the derivatives are defined in the Caputo fractional sense. The proposed equation with its functional argument represents a general form of delay and advanced differential equations with fractional order derivatives. The obtained results show that the proposed method is very effective and convenient.
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