Time-Fractional Telegraph Equation
Fractional Difference Approximations for Time Fractional Telegraph Equation
... tional telegraph equations, ...solve fractional telegraph ...the time-fractional telegraph equation with Robin boundary value conditions by us- ing the reproducing kernel ...
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Fractional exponential operators and time-fractional telegraph equation
... In this paper, the Bromwich integral for the inverse Mellin transform is used for finding an integral representation for a fractional exponential operator. This operator can be considered as an approach for solving ...
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Generalized finite difference/spectral Galerkin approximations for the time fractional telegraph equation
... of time-fractional telegraph ...two-parameter fractional telegraph equation and obtained a stability condition of the numerical ...the time-fractional ...
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On the Numerical Solutions for the Time-Fractional Telegraph Equation
... N . Recall that for N , the Caputo differential operator coincides with the usual differential operator of integer order. Our main aim is to generalize Legendre operational matrix to fractional calculus. The ...
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Extended cubic B splines in the numerical solution of time fractional telegraph equation
... of time fractional telegraph equation is presented and ...Caputo fractional formula is used in the discretization of the time fractional ...Caputo fractional ...
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A Reliable Treatment of Iterative Laplace Transform Method for Fractional Telegraph Equations
... Caputo fractional derivatives defined by equation (2), a b , and c are constants and g x t is given ...space-time fractional telegraph equation reduces to classical ...
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On skewed grid point iterative method for solving 2D hyperbolic telegraph fractional differential equation
... hyperbolic telegraph partial differential equation of fractional order due to their importance in representing the various physical ...two-dimensional fractional telegraph ...dimensional ...
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On the approximation of time fractional telegraph equations using localized kernel based method
... solving telegraph equations of fractional ...a time-fractional telegraph equation of fractional order 1 2 < α ≤ 1 of the ...
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The Traveling Wave Solutions of Space Time Fractional Differential Equation Using Fractional Riccati Expansion Method
... constants. Telegraph equation is the important model in the description of the transmission of energetic particle distributions [21] [22] and it has been applied in a wide range, such as astrophysical and ...
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An efficient new perturbative Laplace method for space time fractional telegraph equations
... and time (t), a and b are constants depending on a given problem and f , ϕ, φ , ψ are known continuous ...second equation has been solved by Das et ...for fractional space-time ...
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Fuzzy Space-Time Fractional Telegraph Equations
... of fractional calculus, which deals with the investigation and applications of derivatives and integrals of arbitrary order has a long ...of fractional calculus developed mainly as a pure theoretical field ...
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Analytical exact solution of telegraph equation using HPM
... wave equation and telegraph equation. The telegraph equation was first introduced by kirchoff in ...The telegraph equation has both wave motion and diffusion ...
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Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates
... for time-fractional diffusion-wave equation have been found in cylindrical ...considered equation in the case 0 < α < 1 interpolates the Helmholtz and diffusion ...the ...
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On the analysis of mixed-index time fractional differential equation systems
... Keywords: time fractional differential equations; mixed-index problems; analytical solution; 9.. asymptotic stability 10.[r] ...
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A posteriori error estimates for the fractional optimal control problems
... The purpose of this paper is to derive a posteriori error estimates for the FOCP gov- erned by the time fractional diffusion equation (TFDE) with Riemann-Liouville fractional derivative. Let = ...
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Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative
... conformable fractional calculus, we have established some new oscillatory and asymptotic criteria for a class of fractional order dynamic equation on time scales, which extend the oscillation ...
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A numerical scheme for space-time fractional advection-dispersion equation
... and time fractional advection dispersion equations. After time discretization, we used product integration technique to derive some explicit formulas for terms involving space fractional ...in ...
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Occupation time distributions for the telegraph process
... the telegraph process, analogous to that for diffusion processes, is based on pursuing a fundamental link relating various expected values of the process with initial value and/or boundary value problems for ...
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Large time behavior for the fractional Ginzburg-Landau equations near the BCS-BEC crossover regime of Fermi gases
... to fractional Ginzburg- Landau equations for atomic Fermi gases near the BCS-BEC ...the fractional dissipation operator α is nonlocal and can be regarded as the in- finitesimal generators of Lévy stable ...
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The variational iteration method for solving Nagumo telegraph equation
... He, Variational iteration method for delay dierential equations, Commun. Siene and Nume[r] ...
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