| Title | : | Linear Fractional Diffusion-Wave Equation for Scientists and Engineers |
| Author | : | Yuriy Povstenko |
| Language | : | en |
| Rating | : | 4.90 out of 5 stars |
| Type | : | PDF, ePub, Kindle |
| Uploaded | : | Apr 03, 2021 |
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Fractional generalizations of the noether operators are also proposed for the equations with the riemann-liouville and caputo time-fractional derivatives of order $\alpha \in (0,2)$. Using these operators and formal lagrangians, new conserved vectors have been constructed for the linear and nonlinear fractional subdiffusion and diffusion-wave.
Solving fractional diffusion-wave equations using a new iterative method 1 varsha daftardar-gejji ⁄ and sachin bhalekar ⁄⁄ dedicated to professor shyam kalla on his 70th anniversary abstract in the present paper a new iterative method [1] has been employed to flnd solutions of linear and non-linear fractional difiusion-wave equations.
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This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the mittag-leffler, wright, and mainardi functions that appear in the solutions.
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The laplace transform method for solving of a wide class of initial value problems for fractional differential equations is introduced. The method is based on the laplace transform of the mittag-leffler function in two parameters. To extend the proposed method for the case of so-called sequential fractional differential equations, the laplace transform for the ''sequential'' fractional.
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The time fractional diffusion-wave equation is obtained from the classical diffusion or wave equation by replacing the first- or the theory of linear operators.
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A fractional diffusion-wave equation is a linear integro partial equation ob- tained from the classical diffusion or wave equation by replacing the first or second-order time derivative term by a fractional derivative of order a 0 [15].
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The linear fractional function is also characterized by the fact that it maps lines and circles in the complex plane into lines and circles. Every conformal mapping of the interior of a circle onto itself can be realized by means of a linear fractional function.
One dimension whereas very little work has been done in the area a fdwe is a linear partial integro-differential equation obtained of stochastic analysis of fractional order engineering systems. From the classical diffusion or wave equation by replacing the first in this letter, the analytical and numerical solutions of an or second-order time.
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Sep 15, 2020 you can think about is as being an analogous transformation to the fourier transformation, except it works for a non linear equation.
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