NEW APPLICATION OF GF1 INTEGRAL TRANSFORM
Keywords:
GF1 integral transform, initial value conditions, ordinary differential equations systemsAbstract
Finding the solutions of initial value problems that constructed by differential equations systems has been considered by several researchers. The methods have been used to solve those kind of problems are analytic and numeric methods. The present study is the first attempt to use the GF1 integral transform to find the analytic solution of ordinary differential equations systems associated with initial value conditions. Three illustrate examples will be solved analytically to find the particular exact solution
References
S. S. Ali and M. S. Chaudhary, "On a new integral transform and solution of some integral equations," International Journal of Pure and Applied Mathematics, vol. 73, 01/01 2011.
F. B. M. Belgacem. and A. A. Karaballi., "Sumudu transform fundamental properties investigations and applications," International Journal of Stochastic Analysis, Hindawi, vol. vol. 2006, pages 1-23, May., pp. 1-23, May., 2006.
K. Li and Y.-z. Xie, A brief introduction of Sumudu transform and comparison with other integral transforms, 2012.
H. Bulut, S. Tuluce Demiray, and H. M. Baskonus, The Solution of Initial Value Problems by Sumudu Transform Method, 2012.
Y. Luchko and V. Kiryakova, "The mellin integral transform in fractional calculus," Fractional Calculus and Applied Analysis, vol. 16, pp. 405-430, 2013.
H. Jafari, "A new general integral transform for solving integral equations," Journal of Advanced Research, vol. 32, pp. 133-138, 2021/09/01/ 2021.
N. Gwila. and A. Farhat., "GF1 Integral Transform and its Some Applications," Journal of Alasmarya University: Basic and Applied Sciences, vol. 7, p. 10, June 2022.
C. Frasser, "Laplace Transform and Systems of Ordinary Differential Equations," ed, 2019.
A. Kiliçman, H. Eltayeb, and R. P. Agarwal, "On Sumudu Transform and System of Differential Equations," Abstract and Applied Analysis, vol. 2010, p. 598702, 2010/04/13 2010.
M. Di Sciuva, "Multilayered anisotropic plate models with continuous interlaminar stresses," Composite Structures, vol. 22, pp. 149-167, 1992.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Journal of Basic Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
