N-Transform - Properties and Applications

By Zafar Hayat Khan, W. Khan. 2008

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Finding exact solutions of nonlinear PDEs using the natural decomposition method (2017, background): “Moreover, for any value of n, the generalized Laplace and Sumudu transform are respectively defined by [16, 17]”
The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method (2013, methodology): “Moreover, the Sumudu transform was also used to solve many ordinary differential equations with integer order [23–29].”
SOLVING NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS USING THE NDM (2015, background): “Now we give some important properties of the N–Transforms are given as follows [11,12,20,21]:”
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations (2019, methodology): “The natural transform [33] which is similar to Laplace and Sumudu integral transform was introduced in 2008.”
Advances in the Natural transform (2012, background): “The Natural transform earlier called as N transform [7] was extensively surveyed by the authors in [3], where the said transform is sketched out from the Fourier integral to define the complex inverse Natural transform as well.”