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

This transform of a function ( ) defined for all real numbers ≥ 0 is the function (ʋ) = [ ( )] = 1 ʋ ∫ ( ) − ∞ 0 … (1.1) The above integral convergent. The Aboodh transform[2,19] A of a function ( ) for is greater than or equal to zero given by [ ( )] = 1 ʋ ∫ ( ) −ʋ ∞ 0 (0 ≤ 1 ≤ ≤ 2 ) … (1.2) The Laplace transform [6],[12],[13],[17] of a function ( ) for is greater than zero given by [ ( )] = ∫ ( ) −ʋ ∞ 0 … (1.3) The Sumudu transform S [4],[12] of a function ( ) for is greater than or equal to zero given by [ ( )] = ∫ (ʋ ) − ∞ 0 … (1.4) The Elzaki transform [3],[8],[9] of a function ( ) for is greater than or equal to zero given by [ ( )] = ʋ ∫ ( ) − /ʋ ∞ 0 … (1.5) The Mahgoub (Laplace-Carson)M [1] transform of the function ( ), ≥ 0 is given by [ ( )] = ʋ ∫ ( ) −ʋ ∞ 0 … (1.6) A New Integral Transform Called “Saxena & Gupta Transform” and Relation between New Transform and other Integral Transforms © 2023 Global Journals 1 Year 2023 10 Global Journal of Science Frontier Research Volume XXIII Issue ersion I V ( F ) Definition of New Transform Definition of other transform a) Aboodh transform: b) Laplace transform: c) Sumudu transform: d) Elzaki transform: e) Mahgoub transform: R ef 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. IV