[PDF] Top 20 Solving nonlinear space-time fractional differential equations via ansatz method
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Solving nonlinear space-time fractional differential equations via ansatz method
... The study of solitary wave has made remarkable advances in the past decades. Soliton is one of the major areas of research in nonlinear dispersive media. There are two different types of envelope solitons bright ... See full document
11
Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method
... iteration method, which is a modified general Lagrange multiplier method [34] has been shown to solve effectively, easily and accurately, a large class of nonlinear problems with approximations which ... See full document
9
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... next collocate it in N evenly spaced nodes in [0, 1]. Hence we reach to a system with N linear and N nonlinear equations. By using the Newton iteration method, we can solve this system and obtain the ... See full document
15
Hyperbolic Tangent ansatz method to space time fractional modified KdV, modified EW and Benney–Luke Equations
... the ansatz method is mentioned ...the ansatz method is given for space–time fmKdv, fmEW and Benney–Luke equations, ... See full document
13
A reliable method for the space time fractional Burgers and time fractional Cahn Allen equations via the FRDTM
... The fractional differential equations (FDE) appear more and more frequently in differ- ent research areas and engineering ...using fractional differential equations [–], which are quite useful ... See full document
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Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method
... matrix method to solve the nonlinear Volterra integro-differential equations of fractional ...The method is based on reducing the equation to a system of algebraic equations by ... See full document
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Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... For solving fractional differential and fractional integro-differential equations different numerical techniques have been ...[1] fractional differential transform ... See full document
7
Homotpy Analysis Method for Solving Fractional Differential Equations
... analysis method is an analytic approximation method as apposed to discrete computational ...a nonlinear system may be split into an infinite set of linear systems which are solved analytically, while ... See full document
5
Solving multi-order fractional differential equations by reproducing kernel Hilbert space method
... The rest of paper is organized as follows. In Section 2, we present some important definitions and preparations used in this paper. In Section 3, we construct and de- velop algorithms for solving nonlinear ... See full document
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A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
... of fractional calculated and Bernoulli ...the nonlinear frac- tional integro-differential equation ...proposed method for solving equation ...proposed method by considering six ... See full document
22
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method
... of nonlinear partial time-space fractional differential Equation has been ...the fractional complex transformation has been implemented to convert nonlinear partial ... See full document
6
Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory
... service time in the node i has the distribution exp ( ) µ i , and after the service in this node the customer goes to the node j with the probability P ij ... See full document
16
Mahgoub Transform Method for Solving Linear Fractional Differential Equations
... and nonlinear FDEs ...transform method to solve the ordinary differential ...transform method for finding the exact solution of FDEs with Caputo ... See full document
5
Multistage Telescoping Decomposition Method for Solving Fractional Differential Equations
... of fractional differ- ential equations (1) for a given initial condition (2) have been proven in [8], (see also [10, ...the nonlinear Volterra integral equation of the second ... See full document
7
Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation
... of fractional differential equational are ...direction method for a 2-D fractional reaction diffusion equation are proposed to solve FitzHugh-Nagumo model on an approximate irregular ... See full document
23
Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
... 4.2. Time-fractional Hirota-Satsuma coupled KdV ...of equations was introduced to describe the in- teraction of two long waves with different dispersion ...of time-fractional order, ... See full document
11
Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations
... Decomposition Method (ADM) to solve linear and nonlinear fractional partial differential ...The fractional derivatives are described in the Caputo ...partial differential ... See full document
6
A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
... where a and b are arbitrary constants. It arises as a description of gravity water waves in the long-wave regime. Using the traveling wave transformation u(x, t) = U(ξ), where ξ = kx + ct and k, c are non zero constants, ... See full document
18
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations
... and fractional partial differential equations of physical ...decomposition method stood up as efficient, easy and accurate in solving a great group of linear and nonlinear ... See full document
11
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is ... See full document
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