THERMAL SCIENCE
International Scientific Journal
THE ANALYSIS AND APPLICATION OF A NEW INTEGRAL TRANSFORM W TRANSFORM
ABSTRACT
The main purpose of this paper is to introduce a new integral transform named the W transform. We have been obtained some important results about the W transform. At the same time, the relation between the W transform and other transforms has been established. In order to prove the efficiency of this transform, we have solved the differential equations and integral equations.
KEYWORDS
PAPER SUBMITTED: 2023-03-18
PAPER REVISED: 2023-05-10
PAPER ACCEPTED: 2023-05-12
PUBLISHED ONLINE: 2023-11-05
THERMAL SCIENCE YEAR
2023, VOLUME
27, ISSUE
Issue 5, PAGES [3823 - 3827]
- Yang, X. J., Theory and Applications of Special Functions for Scientists and Engineers, Springer Singapore, Singapore, 2022
- Ahamed, I. E., et al., Jafari Transformation for Solving a System of Ordinary Differential Equations with Medical Application, Fractal and Fractional, 5 (2021), 3, ID5030130
- Eltayeb, H., et al., A Note on the Sumudu Transforms and Differential Equations, Applied Mathematical Sciences, 4 (2010), 22, pp. 1089-1098
- Titchmarch, E, C., The Laplace Transform, Princeton University Press, Princeton, N. J., USA, 1941
- Watugala, G. K., Sumudu Transforms-a New Integral Transform to Solve Differential Equations and Control Engineering Problems, Integrated Education, 24 (1992), 1, pp. 245-259
- Khan, H. Z., et al., N-Transform Properties and Applications, NUST Journal of Engineering Sciences, 1 (2008), 1, pp. 127-133
- Elzaki, M, T., The New Integral Transform Elzaki Transform, Global Journal of Pure and Applied Mathematics, 7 (2011), 1, pp. 57-64
- Mohand., M., et al., The New Integral Transform ‘Mohand Transform, Advances in Theoretical and Applied Mathematics, 12 (2017), 1, pp. 113-120
- Aboodh, K. S., The New Integral Transform Aboodh Transform, Global Journal of Pure and Applied Mathematics, 9 (2013), 1, pp. 35-43
- Mohand, M., et al., The New Integral Transform Sawi Transform, Advances in Theoretical and Applied Mathematics, 14 (2019), 3, pp. 81-87
- Yang, X. J., A New Integral Transform with an Application in Heat transfer, Thermal Science, 20 (2016), Suppl. 3, pp. S677-S681
- Rania, S., et al., A New Integral Transform: ARA Transform and Its Properties and Applications, Symmetry, 12 (2020), 6, ID12060925
- Jafari, H., A New General Integral Transform for Solving Integral Equations, Journal of Advanced Research, 32 (2021), Sept., pp. 133-138
- Emad, K., et al., Emad-Falih Transform a New Integral Transform, Journal of Interdisciplinary Mathematics, 24 (2021), pp. 2381-2390
- Fareeha, S. K., et al., Fareeha Transform: A New Generalized Laplace Transform, Mathematical Methods in the Applied Sciences, (2023),
- Wang, F., et al., The Analytic Solutions for the Unsteady Rotation Flows of the Generalized Maxwell Fluid Between Coaxial Cylinders, Thermal Science, 24 (2020), 6B, pp. 4041-4048
- Wang, F., et al., Global Stabilization and Boundary Control of Generalized Fisher/KPP Equation and Application Diffusive SIS Model, Journal of Differential Equation, 275 (2021), Feb., pp. 391-417
- Wang, F., et al., Approximate Controllability of Fractional Neutral Differential Systems with Bounded Delay, Fixed Point Theory, 17 (2016), 2, pp. 495-508
- Yang, X. J.,. A New Integral Transform Method for Solving Steady Heat transfer Problem, Thermal Science, 20 (2016), Suppl. 3, pp. S639-S642
- Yang, X. J.,. New Integral Transforms for Solving a Steady Heat Transfer Problem, Thermal Science, 21 (2017), Suppl. 1, pp. S79-S87
- Yang, X. J., A New Integral Transform Operator for Solving the Heat-Diffusion Problem, Applied Mathematics Letters, 64 (2017), Feb., pp. 193-197