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

Authors

Department of Mathematics, Faculty of Science, Al-azhar University, Cairo, Egypt

https://doi.org/10.1186/s42787-019-0039-4

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.

Keywords

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1
2019
Pages 1-16

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