NEW INTEGRAL TRANSFORM AND SOME OF ITS RELATIONS AND APPLICATIONS
Abstract
In this manuscript, we introduce a new integral transform called
A. M. Abdallah transform which is a generalization of the Jafari and polynomial
integral transform for solving differential, partial and integral equations. The
proposed integral transform is applied to show high accuracy, efficiency and
simplicity.
References
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12. A. A. Soliman, K. R. Raslan and A. M. Abdallah, Ramadan Group Transform Fundamen-
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13. G. B. Whitham, Linear and Nonlinear Waves, John Wiley New York, 1976.
LaplaceCarson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms, SN Applied Sci-
ences 2 (2020), no. 135, https://doi.org/10.1007/s42452-019-1896-z
2. B. Barnes Polynomial integral transform for solving differential equations, European Jour-
nal of Pure and Applied Mathematics 9 (2016), no. 2, 140–151.
3. H. Eltayeb, A. Kilicman and I. Bachar Modified Sumudu decomposition method for Lane-
Emden-type differential equations, Journal of Advances in Mechanical Engineering 7 (2015),
no. 2, 1–6.
4. M. A. Ramadan The convolution of Ramadan Group Integral transform: Theory and Appli-
cations, Journal of Advanced Trends in Basic and Applied Science 1 (2017), no. 2, 191–197.
5. M. A. Ramadan and A.K. Mesrage, Solution of partial and integro-differential equations
using the convolution of Ramadan Group transform, Asian Research Journal of Mathematics
11 (2018), no. 3, 1–15.
6. K. Raslan, M. A. Ramadan, T. S. El-Danaf and A. R. Hadhoud, On a new general integral
transform: some properties and remarks, J. Math. Comput. Sci 6 (2016), no. 1, 103–109.
7. R. Saadeh, A. Qazza and A. Burqan A New Integral Transform: ARA Transform and Its
Properties and Applications, Symmetry 12 (2020), no. 6, 925-940.
8. K. Shah, T. Singh and A. Kilicman, Combination of integral and projected differential trans-
form methods for time-fractional gas dynamics equations, Ain Shams Engneering Journal
9 (2018), 1683–1688.
9. A. A. Soliman, K. R. Raslan and A. M. Abdallah, On some modified methods on fractional
delay and nonlinear integro-differential equation, Sound Vibration 55 (2021), no. 4, 263-279.
10. A. A. Soliman, K. R. Raslan and A. M. Abdallah, Properties and dualities for Ramadan
Group transform, Accepted to Information Sciences Letters (2021).
11. A. A. Soliman, K. R. Raslan and A. M. Abdallah, On Fractional Integro-Differential Equa-
tion with Nonlinear Time Varying Delay, Sound and Vibration, 56(2), (2022), 147-163.
12. A. A. Soliman, K. R. Raslan and A. M. Abdallah, Ramadan Group Transform Fundamen-
tal Properties and Some its Dualities. In: Joshi, S., Bairwa, A.K., Nandal, A., Radenkovic,
M., Avsar, C. (eds) Cyber Warfare, Security and Space Research. SpacSec 2021. Commu-
nications in Computer and Information Science, 1599. Springer, Cham.
13. G. B. Whitham, Linear and Nonlinear Waves, John Wiley New York, 1976.
Authors
Abdallah, A. M. A. (2024). NEW INTEGRAL TRANSFORM AND SOME OF ITS RELATIONS AND APPLICATIONS. International Journal of Advanced Science and Computer Applications, 5(1). https://doi.org/10.47679/ijasca.v5i1.85
This work is licensed under a Creative Commons Attribution 4.0 International License.