Global Journal of Science Frontier Research, F: Mathematics and Decision Science, Volume 23 Issue 4

In this paper, we introduce a new integral transform. After that we compare some integral transforms with this new integral transform. It has shows that the new integral transform cover those exiting transforms such as Laplace, Elzaki and Sumudu transform for different values. Also gave properties of new transform and derivatives. Researcher can use this new integral transform for solving ODE, integral equations and fractional differential and integral equations. A New Integral Transform Called “Saxena & Gupta Transform” and Relation between New Transform and other Integral Transforms R eferences R éférences R eferencias 1. Abdelbagy, A. Alshikhand and Mohand M. Abdelrahim. Mahgoub, (2016)."Solving Ordinary differential equations with variable coefficients", Journal of Progressive Research in Mathematics(JPRM), Vol. 10, No. 1, pp:15-22. 2. Aboodh, K. S., (2013)."The New Integral Transform 'Aboodh Transform", Global Journal of Pure and Applied Mathematics, Vol. 9, No. 1, pp 35-43 3. Amaal, A., Mohammed Yasmin, and AbdH., (2017). “Algorithm to Solve Linear Volterra Fractional Integro-Differential Equation via Elzaki Transform”, IbnAlhaitham journal for pure and Applied science, Vol. 30, No. 2. 4. Belgacem Fethi Bin Muhammed and Ahmed Abdul Latif Karaalli(2006), "Sumudu Transform Fundamental Properties", Journal of Applied Mathematics and Stochastic Analysis, Article ID 91083, pp 1–23. 5. Bulnes Francisco, (2015)."Mathematical Electrodynamics: Groups, Cohomology Classes, Unitary Representations, Orbits and Integral Transforms in Electro-Physics", American Journal of Electromagnetics and Applications, Vol. 3, No. 6, pp 43-52. 6. Debnath, Lokenath and Dambaru Bhatta, (2014)."Integral Transforms and Their Applications", Book,Third edition, CRC Press. 7. Dirac, paul (1930), “The principal of Quantum Mechanics” (1st ed.), Oxford university press. 8. Elzaki, Tarig M., Salih M. Elzaki and Elsayed A. Elnour, (2012)."On the New Integral Transform “ELzaki Transform” Fundamental Properties Investigations and Applications", Global Journal of Mathematical Sciences: Theory and Practical, Vol. 4, No. 1, pp 1-13. 9. Elzaki, Tarig. M.,(2011)."The New Integral Transform 'ELzaki Transform", Global Journal of Pure and Applied Mathematics, Vol. 7, No. 1, pp 57-64. Conclusion: © 2023 Global Journals 1 Year 2023 22 Global Journal of Science Frontier Research Volume XXIII Issue ersion I V ( F ) N otes IV