Solving Fractional Partial Differential Equations by Triple g-Transformation
DOI:
https://doi.org/10.29304/jqcm.2023.15.1.1170Keywords:
Integral transform, Triple transform, g-transformation, Double transformationAbstract
In this article, we use triple g-transformation for solving fractional partial differential equations. There are many studies about finding solutions of fractional partial differential equation by using many transformations like Laplace transform, Fourier transform and Elzaki transform. In this paper we use triple g-transformation because this transformation can be used to solve most of the fractional partial differential equations by choosing the appropriate functions .
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References
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[5] F. Jarad and T. Abdeljawad, “A modifi ed Laplace transform for certain generalized fractional operators,” Results Nonlinear Anal., vol. 1, no. 2, pp. 88–98, 2018.
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[8]G. D. Medina, N. R. Ojeda, J. H. Pereira, and L. G. Romero, “Fractional Laplace transform and fractional calculus,” in International Mathematical Forum, 2017, vol. 12, no. 20, pp. 991–1000.
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[10] M.A. Zaky, A.S. Hendy, D. Suragan,A note on a class of Caputo fractional differential equations with respect to another function, Mathematics and Computers in Simulation, Volume 196,2022,pp. 289-295.
[11] A.M Abbood and M.H Geem , Double -g-transformation and Its Properties, J. Al-Qadisiyah for computer science and mathematics, vol. 14, no.2,2022, pp.33-41.
[2] J. Dong, "A novel computational analysis of fractional differential equation based on elliptic discrete equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(12), 2022, pp. 1-12.
[3] T. Elzaki, A. Shams, Mounirah Areshi, Mourad Chamekh,"Fractional partial differential equations and novel double integral transform,"Journal of King Saud University - Science,Volume 34, Issue 3,2022,pp. 1-7. [1]B. Guo, X. Pu, and F. Huang, Fractional partial differential equations and their numerical solutions. World Scientific, 2015.
[4] H. Jafari, A new general integral transform for solving integral equations, J. Advanced Research ,Vol. 32, no. 2021,pp. 133-138,2021.
[5] F. Jarad and T. Abdeljawad, “A modifi ed Laplace transform for certain generalized fractional operators,” Results Nonlinear Anal., vol. 1, no. 2, pp. 88–98, 2018.
[6] D. Lokenath and D. Bhatta, "Integral transforms and their applications", third edition, crc Press is an imprint of Taylor & Francis Group, an Informa business, U.S., 2015.
[7] E. Lotfi, H. Zine, Torres DFM, Yousfi N. The Power Fractional Calculus: First Definitions and Properties with Applications to Power Fractional Differential Equations. MATHEMATICS. 2022; 10(19).
[8]G. D. Medina, N. R. Ojeda, J. H. Pereira, and L. G. Romero, “Fractional Laplace transform and fractional calculus,” in International Mathematical Forum, 2017, vol. 12, no. 20, pp. 991–1000.
[9] I.Sami, H. Iyad, "Solving Some Partial Differential Equations by Using Double Laplace Transform in the Sense of Nonconformable Fractional Calculus", Mathematical Problems in Engineering, vol. 2022, Article ID 5326132, 10 pages, 2022
[10] M.A. Zaky, A.S. Hendy, D. Suragan,A note on a class of Caputo fractional differential equations with respect to another function, Mathematics and Computers in Simulation, Volume 196,2022,pp. 289-295.
[11] A.M Abbood and M.H Geem , Double -g-transformation and Its Properties, J. Al-Qadisiyah for computer science and mathematics, vol. 14, no.2,2022, pp.33-41.
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Published
2023-04-03
How to Cite
Hadi AL-Owaidi, R. J., & Geem, M. H. (2023). Solving Fractional Partial Differential Equations by Triple g-Transformation. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(1), Math Page 86–91. https://doi.org/10.29304/jqcm.2023.15.1.1170
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Math Articles
