Keywords:-

Keywords: Hunaiber Transform, Integral Transform, Differential equations, partial differential equations, Linear Partial Differential Equations .

Article Content:-

Abstract

In this paper, we study some basic properties of a new integral transform '' Hunaiber transform''. Moreover, we apply Hunaiber transform to solve linear partial differential equations with initial and boundary conditions. We solve first order partial differential equations and Second order partial differential equations which are essential equations in mathematical physics and applied mathematics.

References:-

References

N. S. Abhale and S. S. Pawar, Fundamental Properties of Sadik Transform and its Applications, Journal of Applied Science and Computations, 6 (3) (2019) 995-999.

S. Aggarwal , R. Chauhan and N. Sharma, A New Application of Mahgoub Transform for Solving Linear Volterra Integral Equations, Asian Resonance, 7(2) (2018) 46-48.

T. M. Elzaki and S. M. Ezaki , Application of New Transform "Elzaki Transform" to Partial Differential Equations, Global Journal of Pure and Applied Mathematics, 7(1) (2011) 65–70.

T. M. Elzaki and S. M. Ezaki, New Integral Transform "Tarig Transform" and System of Integro-Differential Equations, Elixir Appl. Math., 93(2016) 39758-39761.

M. Hunaiber, The New Integral Transform "Hunaiber Transform", International Journal of Innovation Scientific Research and Review, 4 (4) (2022) 2617-2619.

A. Kılıçman and Hassan Eltayeb, A Note on Integral Transforms and Partial Differential Equations, Applied Mathematical Sciences, 4(3) (2010) 109-118.

S. Maitama and W. Zhao, New Integral Transform: Shehu Transf-orm A Generalization of Sumudu and Laplace Transform for Solving Differential Equations, International Journal of Analysis and Applica-tions, 17(2)(2019) 167-190.

M. M. Mahgoub, The New Integral Transform "Mahgoub Tran-sform", Advances in Theoretical and Applied Mathematics, 11(4) (2016) 391-398.

D. P. Patil, Aboodh and Mahgoub Transform in Boundary Value Problems of System of Ordinary Differential Equations, International Journal of Advanced Research in Science, Communication and Technology, 6 (1) (2021) 67-75.

S. S. Pawar and N. S. Abhale, Applications of Sadik Transform for solving Bessel’s Function and linear Volterra Integral Equation of Convolution type, Cikitusi Journal for Multidisciplinary Research, 6 (3) (2019) 85-91.

S. S. Redhwan, S. L. Shaikh and M. S. Abdo, Some Properties of Sadik Transform and Its Applications of Fractional-Order Dynamical Systems in Control Theory, Advances in the Theory of Nonlinear Analysis and its Applications, 4 (2020) (1) 51–66.

S. Sabarinathan, D. Muralidharan and A. P. Selvan, Application of Mahgoub Integral Transform to Bessel’s Differential Equations, Com-munications in Mathematics and Applications, 12 (4) (2021) 919–930.

A. K. Sedeeg and Z. I. Mahamoud, The Use of Kamal Transform for Solving Partial Differential Equations, Advances in Theoretical and Applied Mathematics, 12 (1) (2017) 7-13.

S. L. Shaikh, Some Applications of The New Integral Transform For Partial Differential Equations, Mathematical Journal of Interdisc-iplinary Sciences, 7(1) (2018) 45–49.

S. L. Shaikh, Introducing a New Integral Transform: Sadik Transform , American International Journal of Research in Science, Technology, Engineering & Mathematics, 22 (1) (2018) 100-102.

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Hunaiber, M., & Aati, A. (2022). Some Fundamental Properties of Hunaiber Transform and its Applications to Partial Differential Equations. International Journal Of Mathematics And Computer Research, 10(07), 2808-2811. https://doi.org/10.47191/ijmcr/v10i7.05