Raslan, K., Abd El salam, M., Ali, K., Mohamed, E. (2019). Spectral Tau method for solving general fractional order differential equations with linear functional argument. test, 27(1), 1-16. doi: 10.1186/s42787-019-0039-4
Kamal R. Raslan; Mohamed A. Abd El salam; Khalid K. Ali; Emad M. Mohamed. "Spectral Tau method for solving general fractional order differential equations with linear functional argument". test, 27, 1, 2019, 1-16. doi: 10.1186/s42787-019-0039-4
Raslan, K., Abd El salam, M., Ali, K., Mohamed, E. (2019). 'Spectral Tau method for solving general fractional order differential equations with linear functional argument', test, 27(1), pp. 1-16. doi: 10.1186/s42787-019-0039-4
Raslan, K., Abd El salam, M., Ali, K., Mohamed, E. Spectral Tau method for solving general fractional order differential equations with linear functional argument. test, 2019; 27(1): 1-16. doi: 10.1186/s42787-019-0039-4

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

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-16    PDF (960.26 K)
DOI: 10.1186/s42787-019-0039-4
Authors
Kamal R. Raslan; Mohamed A. Abd El salam; Khalid K. Ali; Emad M. Mohamed
Department of Mathematics, Faculty of Science, Al-azhar University, Cairo, Egypt
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
Spectral Tau method; Fractional order differential equations with functional argument; Caputo fractional derivatives
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