integral transform


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integral transform

[′int·ə·grəl ′tranz‚fȯrm]
(mathematics)
References in periodicals archive ?
We begin this section by extending to the random framework the practical Gauss-Hermite quadrature formulae for the evaluation of improper random integrals that appear in a natural way when using random integral transform methods.
The fractional d'Alembertian [[??].sup.[alpha]/2] for n-dimensional pseudo-Euclidean space-time [R.sup.n.sub.1,n-1] can be considered as an inverse Fourier's integral transform [F.sup.-1] of [[absolute value of (k)].sup.[alpha]] by
Remarkably, an exact analytical solution can be constructed using an integral transform method [16] which provides a complete description of the crossover of the thermal conductance moments as a function of the system's length, covering all transport regimes: ballistic, metallic, and insulating.
Integral Transforms of Fractional Integral Involving M-L Function
(i) Reduce the set of two fourth-order coupled partial differential equations (1) and (2) to a set of two coupled ordinary differential equations of order two using the generalized finite integral transform. (ii) Use the modified asymptotic method of Struble [1] to simplify the resulting set of two coupled transformed ordinary differential equations.
Furthermore, the integral transform with the kernel [Y.sup.v.sub.[rho],r](x) could be investigated.
This has motivated researchers to design more secure systems by introducing additional parameters through phase filters and the use of a variety of integral transforms such as the fractional Fourier transform [18, 19], gyrator transform [20, 21], the Hartley transform [22,23], and the Arnold transform [24].
This assumption allowed bypassing traditional mathematical problem, which is raised in the study of transient dynamic problems for finite two-dimensional domains, and allowed further application of Fourier integral transform for the spatial variable.
A new integral transform is defined for functions of exponential order.
[3] G.K.watugala, simudu transform- anew integral transform to Solve differential equation and control engineering problems.Math Engrg Induct.6 (1998), no 4, 319-329.

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