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On General Form of Fractional Delay Integro-Differential Equations.

Authors :
Mohamed, Emad M. H.
Raslan, K. R.
Ali, Khalid K.
Abd El Salam, Mohamed A.
Source :
Arab Journal of Basic & Applied Sciences; 2020, Vol. 27 Issue 1, p313-323, 11p
Publication Year :
2020

Abstract

In this paper, a numerical solution of general form of fractional delay integro-differential equation (GFDIDE) is presented using spectral collocation method. The Chebyshev polynomials of the second kind are used as a basis function with the collocation scheme. The proposed equation represents a general form of intgro-differential equation with delayed argument, which has multi-terms of integer and fractional order derivatives for delayed or non-delayed terms. The operation matrices for all terms of GFDIDE are introduced according to fractional calculus. The reliability and efficiency of the proposed method are demonstrated by some numerical examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25765299
Volume :
27
Issue :
1
Database :
Complementary Index
Journal :
Arab Journal of Basic & Applied Sciences
Publication Type :
Academic Journal
Accession number :
147757072
Full Text :
https://doi.org/10.1080/25765299.2020.1807702