[PDF] Top 20 A new method for constructing exact solutions for a time-fractional differential equation
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A new method for constructing exact solutions for a time-fractional differential equation
... In the last decade FPDEs have attracted considerable interest. This kind of equa- tion plays an important role in various fields of sciences, for example engineering, elec- trochemistry, biology, economics, modeling, ... See full document
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Exact Solutions for Three Fractional Partial Differential Equations by the (G’/G) Method
... (G’/G) method to seek exact solutions for three fractional partial differential equations: the space fractional (2+1)-dimensional breaking soliton equa- tions, the ... See full document
6
A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
... integral method [20], the transformed rational function method [23], the multiple exp-function method [24, 25], the generalized Riccati equation method [21], the Frobenius decomposition ... See full document
18
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... a new approach has been developed to find the exact solutions of nonlinear partial differential equations of fractional order by the fractional complex transformation [17] and ... See full document
7
Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space time fractional Phi 4 equation using reliable methods
... of exact solutions of nonlinear partial differential equations (NPDEs) plays an important role in study of physical phenomena in various scientific and engi- neering fields, such as biology, chemical kinetics, ... See full document
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Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation
... u(x, y, z, t) = u(ξ), ξ = x + y + z − V t, (2.2) where u is an unknown function depending on x, y, z, t and is a polynomial F in u(ξ) = u(x, y, z, t) and its partial derivatives and V is a constant to be determined ... See full document
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Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
... and new exact solu- tion of higher dimensional time-fractional Schrodinger equation by making use of the modified simple equation method [27]-[34] and discuss effect of ... See full document
13
New Exact Travelling Differential Equations by Using Tanh Method
... partial differential equation is current research in Applied ...introduce new exact solutions for some nonlinear partial differential equations which obtained by using tanh (or ... See full document
5
The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
... -expansion method where G satisfies the second-order nonlinear ordinary differential equation to generate more general solution and a rich class of new exact traveling wave ... See full document
15
Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... Some new exact traveling wave solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation and the Burgers equation are constructed in this article by applying the new ... See full document
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New analytical soliton type solutions for double layers structure model of extended KdV equation
... the constructing exact solitary wave solutions for double layers structure model of extended Korteweg-de Vries (KdV) equation by using of the new extension of the (G’/G)-expansion ... See full document
15
The Traveling Wave Solutions of Space Time Fractional Differential Equation Using Fractional Riccati Expansion Method
... a fractional differential equation with Jumarie’s modified of Riemann-Liouville derivative into its ordinary differential ...the exact traveling wave solutions of ... See full document
11
Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class
... This equation is an interesting model to describe ion-acoustic and space charge waves with weak non linearity ...conformable fractional derivative definition and some important ...conformable ... See full document
21
Regarding rational exponential and hyperbolic functions solutions of conformable time-fractional Phi-four equation
... of solutions of corresponding nonlinear PDEs. The exact solutions have always been a particular importance among the researchers in many fields of nonlinear ...inaugurate new exact ... See full document
13
Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
... a fractional differential equation with small ...the new vector fields by approximate nonclassical Lie symmetry method, reduction of order and exact solutions for ... See full document
8
Positive solutions for P Laplace problems with nonlinear time fractional differential equation
... of fractional differential equations has emerged as an important area of investigation by the fact that it has numerous applications in viscoelasticity, electrochemistry, control, elec- tromagnetic, porous media, ... See full document
22
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
... Kudryashov method for solving various types of nonlinear fractional partial differential ...the time-space fractional Korteweg-de Vries-Burger (KdV-Burger) equation is solved ... See full document
9
Exact solutions of a linear fractional partial differential equation via characteristics method
... The method of characteristics is a useful and classical method which plays an im- portant role in mathematical ...one fractional differential such as α, so we show how could we solve FDEs with ... See full document
7
Exact solutions for fractional partial differential equations by a new fractional sub equation method
... second fractional complex transformations for ...nonlinear fractional complex transformations, it is worth to investigate the applications of other algebraic methods to fractional partial differential ... See full document
12
Solving nonlinear space-time fractional differential equations via ansatz method
... the fractional partial differential equations are defined by modified Riemann-Liouville fractional ...of fractional derivative and fractional complex transform, these equations can be converted ... See full document
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