Integral transforms and their applications

By Abd Elgadir, Ahmed Ali Mohammed. 2009

797 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1bdde37dfd56677b95b6b2a9d15a594b00556c74

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Citations in the corpus

Characterization of Matrix-Exponential Distributions (2008, background): “Using (F (u) = (s) s and the Final Value Theorem (see Debnath[19]), we see that lims→0 (s) = limu→∞ F (u), and so a1 = b1(1 − 0).”
A Comparative Study of Mohand and Aboodh Transforms (2019, background): “In modern time, integral transforms (Laplace transform [1, 7-11], Fourier transform [1], Hankel transform [1], Mellin transform [1], Z-transform [1], Wavelet transform [1], Mahgoub transform [2], Kamal transform [3], Elzaki transform [4], Aboodh transform [5], Mohand transform [6], Sumudu transform ”
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations (2019, methodology): “The basic idea of the z-transform was known to Laplace and later it was re-introduced by the Jewish-Polish mathematician Witold Hurewicz to treat a sampled-data control systems used with radar in 1947 ([16][17]).”
Capacity of a Diffusion-Based Molecular Communication System With Channel Memory and Molecular Noise (2013, methodology): “…the particle distribution as the sum of the entropy per second of the transmitted signal and the integral of the transfer function Fourier transform [15] of the Green's function [24] of the Fick's diffusion in the portion of its frequency spectrum that is excited by the transmitted signal : (24)…”
Diffusion-Based Noise Analysis for Molecular Communication in Nanonetworks (2011, background): “The same relation in the time domain becomes (30) where denotes the convolution operator [27] , is the impulse response of the transmitter module and is the input signal.”
A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow (2015, background): “0 exp (−sx) ξ (x) dx = ξ (s) represents the Laplace transform of the function ξ (x) (see [14]).”
Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses (2020, background): “where K3/2(·) is the modified Bessel function of order 3/2 of second kind [69] and Ai (i = 1, 2, 3) are some constants which can be obtained on imposing the boundary condition of the problem.”
Dense Vertically Aligned Multiwalled Carbon Nanotube Arrays as Thermal Interface Materials (2007, background): “Equations (7) can be solved analytically by integral transform methods [16], [19].”
A physical end-to-end model for molecular communication in nanonetworks (2010, background): “The Transfer Function Fourier Transform [10] (TFFT) of the receiver module C̃(f) is:”