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A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations
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S. Saha Ray
Veröffentlicht/Copyright:
5. November 2013
Abstract
In the present paper, a very new technique, Coupled Fractional Reduced Differential Transform, has been implemented to obtain the numerical approximate solution of coupled time fractional kdV equations. The fractional derivatives are described in the Caputo sense. By using the present method we can solve many linear and nonlinear coupled fractional differential equations. The obtained results are compared with the exact solutions. Numerical solutions are presented graphically to show the reliability and efficiency of the method.
Keywords: Coupled Fractional Reduced Differential Transform; fractional coupled kdV equations; Caputo fractional derivative; Riemann-Liouville fractional derivative
Received: 2013-6-28
Accepted: 2013-9-11
Published Online: 2013-11-5
Published in Print: 2013-12-16
©[2013] by Walter de Gruyter Berlin Boston
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Schlagwörter für diesen Artikel
Coupled Fractional Reduced Differential Transform;
fractional coupled kdV equations;
Caputo fractional derivative;
Riemann-Liouville fractional derivative
Artikel in diesem Heft
- Masthead
- A New Model for Plastic-Viscoelastic Magnetohydrodynamic (MHD) Flow with Radiation Thermal Transfer
- New Exact Solutions for an Oldroyd-B Fluid with Fractional Derivatives: Stokes' First Problem
- A Modified Variational Iteration Method for Nonlinear Oscillators
- Behavioral Modeling of SNFS for Synthesizing Multi-Scroll Chaotic Attractors
- Solving a System of Linear and Nonlinear Fractional Partial Differential Equations Using Homotopy Perturbation Method
- On a Problem of Nonstationary 2D Motion of Micropolar Fluid in the Half-plane Subjected to a Uniform Magnetic Field when Normal Stresses and Tangential Velocities are Given on the Boundary
- Non-equilibrium Shock Structure Calculation with High-order Modified Navier–Stokes Equations
- A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations
- A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product
- Control Volume Based Finite Element Method Study of Nano-fluid Natural Convection Heat Transfer in an Enclosure Between a Circular and a Sinusoidal Cylinder
- Hybrid Modulus-phase Synchronization of Hyperchaotic Complex Systems and its Application to Secure Communication
