time fractional KdV equation
Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation
... the time fractional KdV equation by using the Lie symmetry ...the time fractional KdV equation are fewer than those for the generalized KdV ...the ...
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A Comparative Study of Space and Time Fractional KdV Equation through Analytical Approach with Nonlinear Auxiliary Equation
... nonlinear equation has its substantially noteworthy rich structure, still, significant research has to be done due to be well established the ( G G '/ ) -expansion ...and time fractional KdV ...
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Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
... the time-fractional KdV equation with the Riemann-Liouville ...of fractional KdV equation are ...the equation is ...
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Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... nonlinear fractional partial differential equations by combining them with the so-called homotopy perturbation method ...nonlinear fractional equations as: nonlinear time-fractional ...
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Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space time fractional Phi 4 equation using reliable methods
... space-time fractional order partial differential ...the fractional (2 + 1)-dimensional cubic–quintic Ginzburg–Landau equation which will be solved using the modified Kudryashov ...nonlinear ...
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An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms
... used to determine composite function solutions to the mKdV equation [9]. Imple- mentation of simple sin − cos ansatz techniques gives some traveling type wave solutions in forms of trigonometric and hyperbolic ...
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Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
... nonlinear fractional partial differential equations. As an application, the time-space fractional Korteweg-de Vries-Burger (KdV-Burger) equation is solved using this method and we get ...
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An effective computational approach based on Gegenbauer wavelets for solving the time fractional Kdv Burgers Kuramoto equation
... and fractional partial differential ...of fractional partial differential equations for some ...nonlinear fractional partial differential equations are very ...and fractional partial differential ...
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Solutions of the fractional combined KdV–mKdV equation with collocation method using radial basis function and their geometrical obstructions
... The geometry of the exact solutions of various equations has been intensely studied by different authors in various ways (cf. [40–44]). In this section, we are going to investigate the exact solution and the numerical ...
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Solution of space time fractional generalized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation
... complex fractional transformation and generalized Tanh method to solve three non-linear space-time fractional differential equations arises in fluid dynamics and plasma ...space-time ...
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Inverse problem for a time fractional parabolic equation
... parabolic equation by using over-measured data has generated increasing interest from engineers and scien- tists during the last few ...parabolic equation has been studied by Demir and Ozbilge [, ...for ...
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On the Numerical Solutions for the Time-Fractional Telegraph Equation
... (28) In this example by using just m = 2 , we obtain exact solution such that in [19],we can see best error is 10 5 . from Fig. 2, we see that as approaches 2, the numerical solution converges to that of ...
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Neumann method for solving conformable fractional Volterra integral equations
... Under investigation in the present paper was been offered the solution of an im- portant class of Volterra integral equations in the sense of the conformable fractional derivative. For this purpose, the ...
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THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS
... where d and A are non-zero constants with the conditions A > 0 and A 6= 1. The balance between the non-linear term and the term having the maximal order deriv- ative in (3.3) enables to determine the positive integer ...
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On Approximate Solutions for Time-Fractional Diffusion Equation
... involving fractional derivatives and integrals have been studied by many ...phenomena, fractional partial differential equations have been used in numerous areas such as finance, hydrology, porous media, ...
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Explicit Exact Solutions to Some One Dimensional Conformable Time Fractional Equations
... solve numerous problems. The power of solving complicated algebraic computa- tions more rapidly than human directs many researcher to develop, improve and implement new methods on the computer based platforms. Thus, the ...
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A solitary wave solution to a perturbed KdV equation
... perturbed KdV equation. Whereas the unperturbed KdV equation has a one- parameter family of one-soliton solutions (2), the perturbed equation admits only one solution that is similar to ...
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Positive solutions to fractional boundary-value problems with p-Laplacian on time scales
... Motivated by the work mentioned above, we investigate the existence and multiplicity of positive solutions for (1.3), (1.4) on time scales. The rest of this paper is organized as follows. In Sect. 2, we recall ...
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Analytical study for time and time space fractional Burgers’ equation
... The present paper is organized as follows. The second and third sections are devoted to the basic ideas of fractional calculus and the standard VIM, respectively. The fourth and fifth sections are devoted to the ...
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Pulse Soliton Solutions of the Modified KdV and Born Infeld Equations
... tion (14) doesn’t present more terms that can merge themselves. At this level, the only acceptable solution is the trivial solution which doesn’t have im- portance. In conclusion, the equation of KdV as ...
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