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, Page 1-16 PDF (960.26 K) | ||||
| DOI: 10.1186/s42787-019-0039-4 | ||||
 View on SCiNiTO | ||||
| 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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