Sentence examples for transform to solve from inspiring English sources

Recently Kılıçman et al. applied this transform to solve a system of differential equations, see [8].

We apply this transform to solve some fractional difference equations with initial value problems.

This work involved an implementation of the multidimensional Laplace transform to solve the multidimensional space-time fractional differential equation.

We introduce the generalized Laguerre transform and use this transform to solve the fractional heat (diffusion) equation.

As applications, we give summation formulas for ϕ 1 2 finite series, we also use the q 2 -Fourier transform and Hahn q-Laplace transform to solve a fractional q-diffusion equation.

To make the calculation easy and simple, for the first time, we have used the Laplace transform to solve the systems of equations formed after applying homotopy perturbation instead of applying an inverse operator.

The natural transform of a function (f ( x )), (xin ( 0,infty )), was proposed by Khan and Khan [19] as an extension to Laplace and Sumudu transforms to solve some fluid flow problems.

In [18], Ho explored the possibility of using the classical Fourier and Mellin integral transforms to solve the class of q-difference differential equations D q, t n u ( x, t ) = ∂ 2 ∂ x 2 u ( x, t ), x ∈ R, t > 0, n ≥ 1, (5.1).

From Perron-Frobenius theory this issue is transformed to solve the leading large eigenvalue of w and corresponding eigenvector.

This problem is transformed to solving of linear matrix inequality (LMI) problems.

Since P ̄ ( n ) α ( n ), ρ ( n ) has positive denominator, proof of (32) transforms to solving the following optimization problem minimize f ( Ξ 1 × K ) (33) subject to Ξ 1 × K ≽ 0 (34).