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Cloud computing is steadily transforming "on premise" investments in information systems.

Finally, taking the inverse Laplace transform on both sides of (5.8), the result follows.

Applying the Weyl transform on both sides in (5.3) we obtain (5.4).

Taking the Fourier transform on both sides of (2) and using (1), we obtain.

This method first performs wavelet transform on both depth and amplitude images.

Applying the Elzaki transform on both sides of equation (5.1), we have E bigl[u r,t) bigr]=s^{2}f(r)+s^{alpha}E biggl[P+u_{rr}+frac{1}{r}u_{r} biggr].

Applying the Elzaki transform on both sides of equation (3.2), we have E bigl[u_{t}^{alpha} bigr]=E biggl[P+v biggl u_{rr}+ frac{1}{r}u_{r} biggr) biggr].

Taking the Laplace transform on both sides of system (8), we get the characteristic equation of system (8) as follows: bigl|s^{alpha}E-Abigr|=0.

First, applying the Laplace transform on both sides of Eq. (23), we get L [ D t α ( y ) ] = L [ 1 ] + 2 L [ y ] − L [ y 2 ]. (26).

The straightforward way is to take the Fourier transform on both sides, which maps convolution into multiplication, and then find the Fourier transform of the unknown (either or ) by a simple pointwise division.

Applying the Elzaki transform on both sides of equation (5.9), we have E bigl[u r,t) bigr]-s^{2}u r,0)-s^{alpha}E bigr]-s^{2}u rfrac{1}{r}u_{r} biggr]=0.

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