Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations
View through CrossRef
In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative. Series form solutions are obtained for fractional-order telegraph equations by using the proposed method. Some numerical examples are presented to understand the procedure of the Laplace-Adomian decomposition method. As the Laplace-Adomian decomposition procedure has shown the least volume of calculations and high rate of convergence compared to other analytical techniques, the Laplace-Adomian decomposition method is considered to be one of the best analytical techniques for solving fractional-order, non-linear partial differential equations—particularly the fractional-order telegraph equation.
Title: An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations
Description:
In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method.
The Caputo operator is used to define the fractional derivative.
Series form solutions are obtained for fractional-order telegraph equations by using the proposed method.
Some numerical examples are presented to understand the procedure of the Laplace-Adomian decomposition method.
As the Laplace-Adomian decomposition procedure has shown the least volume of calculations and high rate of convergence compared to other analytical techniques, the Laplace-Adomian decomposition method is considered to be one of the best analytical techniques for solving fractional-order, non-linear partial differential equations—particularly the fractional-order telegraph equation.
Related Results
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Analysis of Sequential Caputo Fractional Differential Equations versus Non-Sequential Caputo Fractional Differential Equations with Applications
Analysis of Sequential Caputo Fractional Differential Equations versus Non-Sequential Caputo Fractional Differential Equations with Applications
It is known that, from a modeling point of view, fractional dynamic equations are more suitable compared to integer derivative models. In fact, a fractional dynamic equation is ref...
Soham Transform in Fractional Differential Equations
Soham Transform in Fractional Differential Equations
Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integra...
Analytical and Numerical Methods for Solving Second-Order Two-Dimensional Symmetric Sequential Fractional Integro-Differential Equations
Analytical and Numerical Methods for Solving Second-Order Two-Dimensional Symmetric Sequential Fractional Integro-Differential Equations
In this paper, we investigate the solution to a class of symmetric non-homogeneous two-dimensional fractional integro-differential equations using both analytical and numerical met...
Analysis of Fractional-Order Physical Models via Shehu Transform
Analysis of Fractional-Order Physical Models via Shehu Transform
In this study, an innovative analytical analysis of fractional-order
partial differential equations is presented by Shehu transformation
method. Fractional-order differential equat...
Invariance analysis and some new exact analytic solutions of the time-fractional coupled Drinfeld-Sokolov-Wilson equations
Invariance analysis and some new exact analytic solutions of the time-fractional coupled Drinfeld-Sokolov-Wilson equations
In this work, the fractional Lie symmetry method is used to find the exact solutions of the time-fractional coupled Drinfeld-Sokolov-Wilson equations with the Riemann-Liouville fra...
Dynamical analysis of linear SDOF oscillator with fractional-order derivative (Ⅱ)
Dynamical analysis of linear SDOF oscillator with fractional-order derivative (Ⅱ)
A linear single degree-of-freedom (SDOF) oscillator with two kinds of fractional-order derivatives is investigated by the averaging method, and the approximately analytical solutio...
On Λ-Fractional fluid mechanics
On Λ-Fractional fluid mechanics
Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule d...