On Differential and Integration of g-g-Transformation
DOI:
https://doi.org/10.29304/jqcm.2022.14.3.994Keywords:
differential equation, , integral transform, g-transform, convolution theorem, inverse integral transformAbstract
In this work we present an integral transform, namely g-g-transform and defined as :
This transformation consider generalized for g-transformation which defined as :
We study differential and integration of this transformation. Also we find the inverse of this transformation by using g-g-transformati of integration . we use differential of g-g-transormation for finding g-g-transformation of some function of the form .
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References
[1] A.H Mohammed and N. Atyiah ,2018, ALzughair Transform of Differentiation and International Journal of engineering &Technology , 7(3),pp184- 188.
[2]A.H Mohammed and A.N.Kathem , 2008, Solving Euler's Equation by using New Transformation , Journal kerbala University , 6(4).
[3] A.N. Albukhuttar and I.H.Jaber , 2019, Elzaki transformation of linear equation without Subject to any initial conditions, Journal of AdvancedResearch in Dynamical and control Systems , 11(2) .
[4] B.Goodwine , 2010, Engineering Differential Equation : Theory and Application , Springer , New York , USA.
[5] D. Anju , et al , 2017, Solution of Ordinary Differential Equation with Variable coefficients Using Elzaki Transform, Asian Journal of Applied Science and Technology , 1(9) , pp. 186-194.
[6] D.P.G. , 2001, An Introduction to Laplace Transforms and Fourier Series , Spring , Verlag London Limited.
[7] H.Jafari , 2020, A new general integral transform for solving integral equation , Journal of Advanced Research xxx (xxxx) xxx (in press).
[8] H. Eltayeb , 2017, A note on double Laplace decomposition method and nonlinear partial differential equation, New Trends in Mathematical Sciences , 5(4).
[9] H. Jafari, A new general integral transform for solving integral equations, Journal of Advanced Research, 32(2021), pp. 133-138.
[10] M.E.Tarig , 2011, The new integral transform , Elzaki Transform , Global Journal of pure and applied Mathematics , 2(1), pp. 57-64 .
[11] N. Gabriel , 2015, Ordinary Differential Equations, Mathematics Department , Michigan State University , 16(6),pp. 123-143.
[2]A.H Mohammed and A.N.Kathem , 2008, Solving Euler's Equation by using New Transformation , Journal kerbala University , 6(4).
[3] A.N. Albukhuttar and I.H.Jaber , 2019, Elzaki transformation of linear equation without Subject to any initial conditions, Journal of AdvancedResearch in Dynamical and control Systems , 11(2) .
[4] B.Goodwine , 2010, Engineering Differential Equation : Theory and Application , Springer , New York , USA.
[5] D. Anju , et al , 2017, Solution of Ordinary Differential Equation with Variable coefficients Using Elzaki Transform, Asian Journal of Applied Science and Technology , 1(9) , pp. 186-194.
[6] D.P.G. , 2001, An Introduction to Laplace Transforms and Fourier Series , Spring , Verlag London Limited.
[7] H.Jafari , 2020, A new general integral transform for solving integral equation , Journal of Advanced Research xxx (xxxx) xxx (in press).
[8] H. Eltayeb , 2017, A note on double Laplace decomposition method and nonlinear partial differential equation, New Trends in Mathematical Sciences , 5(4).
[9] H. Jafari, A new general integral transform for solving integral equations, Journal of Advanced Research, 32(2021), pp. 133-138.
[10] M.E.Tarig , 2011, The new integral transform , Elzaki Transform , Global Journal of pure and applied Mathematics , 2(1), pp. 57-64 .
[11] N. Gabriel , 2015, Ordinary Differential Equations, Mathematics Department , Michigan State University , 16(6),pp. 123-143.
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Published
2022-08-12
How to Cite
fadhil, T. M., & Geem, M. H. (2022). On Differential and Integration of g-g-Transformation. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(3), Math Page 42–58. https://doi.org/10.29304/jqcm.2022.14.3.994
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Math Articles
