Lagrange computational approach for fractional-order delay systems of Volterra integral and integro-differential equations
Abstract
In this paper, numerical solution depending on Lagrange cardinal operational collocation optimization method (LCOCOM) is introduced. The LCOCOM is developed to obtain the solutions of Volterra delay integral and integro-differential equations, as well fractional-order delay systems of Volterra integral and integrodifferential equations. We present numerical results and comparisons of existing treatments to demonstrate the efficiency and applicability of the proposed method. The proposed method gives more accurate solution with minimum number of approximation nodes in linear as well as nonlinear cases.
Copyright © 2022 Marwa Masoud Mohammed, Hussein S. Hussein, Ismail Gad Ameen, Mohamed S. Akel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. M. Mohammed, H. S. Hussein, I. G. Ameen, M. S. Akel, Lagrange computational approach for fractional-order delay systems of Volterra integral and integro-differential equations, J. Math. Comput. Sci. 12 (2022), 44. https://doi.org/10.28919/jmcs/7010
BibTeX
@article{Mohammed2022,
author = {Mohammed, Marwa Masoud and Hussein, Hussein S. and Ameen, Ismail Gad and Akel, Mohamed S.},
title = {Lagrange computational approach for fractional-order delay systems of Volterra integral and integro-differential equations},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {44},
doi = {10.28919/jmcs/7010}
}