[PDF] Top 20 The modified Kudryashov method for solving some fractional order nonlinear equations
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The modified Kudryashov method for solving some fractional order nonlinear equations
... space-time fractional potential Kadomtsev-Petviashvili ...This method is powerful, efficient, and it can be used as an alternative to establish new solutions of different types of fractional differential ... See full document
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A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... differential equations have shown a variety of applications in almost every field of life, such as in electromagnetics, acoustics, electrochemistry, cosmology, biological and material science ...[1]-[4]. ... See full document
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Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method
... the fractional-order partial differ- ential equations (FPDEs) have become of increasing interest for the researchers to gen- eralize the integer-order differential ...transform method ... See full document
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THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS
... time fractional Kadomtsev- Petviashvili and the conformable time fractional modified Kawahara equations are solved by implementing the Kudryashov’s ...both equations to some ... See full document
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Solving nonlinear space-time fractional differential equations via ansatz method
... to fractional orders ...local fractional derivative by Jumarie [40]. The definition and some properties for the Jumarie’s derivative of order α are listed as follows ... See full document
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A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order
... Fuzzy Fractional Initial Value Problem under Caputo- type fuzzy fractional derivatives by a modified fractional Euler ...merical method for solving FFDE is an area not yet widely ... See full document
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Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations
... Decomposition Method [1, 2] has been applied to obtain a formal solution to a wide class of both deterministic and stochastic Partial Differential ...this Method has emerged as an alternative method ... See full document
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Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
... 2.1. Fractional calculus. There are several definitions of a fractional derivative of order α > 0 (see [9], [10], ...give some basic definitions and properties of the fractional ... See full document
11
New Ninth Order J Halley Method for Solving Nonlinear Equations
... Halley method for solving nonlinear equa- ...we modified this method by using the finite difference scheme, which had a quantic ...this modified Halley method with ... See full document
5
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
... differential equations are generalizations of classical differential equations of integer ...years, nonlinear fractional partial differen- tial equations (FPDEs) have been attracted by ... See full document
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Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
... Step 4. We substitute expressions given by Eqs. (3.5) in Eq. (2.4). Then we collect all terms with the same powers of function Q(ξ) and equate expressions to zero. As a result we obtain algebraic system of ... See full document
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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
13
Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method
... for solving nonlinear equations. The method was first initiated by [9], and it was successfully used by various researchers to investigate the linear andnonlinear problems [9, ...the ... See full document
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EXACT SOLUTIONS TO (3+1) CONFORMABLE TIME FRACTIONAL JIMBO-MIWA, ZAKHAROV-KUZNETSOV AND MODIFIED ZAKHAROV-KUZNETSOV EQUATIONS
... time fractional (3+1)- dimensional equations are derived by using the modified form of the Kudryashov ...the equations to an ODE with integer ...The method works for the ... See full document
6
The Adomian Decomposition Method for a Type of Fractional Differential Equations
... differential equations are ...decomposition method is an efficient ...general, some differential equations are hard to deal with be- cause of the nonlinear ...decomposition ... See full document
8
Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... transform method to resolve the nonlinear fractional partial differential equations by combining them with the so-called homotopy perturbation method ...solve some ... See full document
14
An Efficient Optimal Eighth order Iterative Method for Solving Nonlinear Equations
... Here we consider, the following test functions to illustrate the accuracy of new iterative method. The root of each nonlinear test function is also listed in from of each page up to fifteen decimal places, ... See full document
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A New Third Order Derivative Free method for Solving Nonlinear Equations
... derivative-free method and give the convergence ...iterative method for solving nonlinear ...this method we approximate the derivative of the function by central difference ...new ... See full document
5
Solution of the Wigner-Poisson equations for RTDS
... The nonlinear solver in the continuation method used for our application was ...Newton Method, where the linear solution for the Newton steps are solved the Krylov iterative method GMRES ... See full document
6
Application of the Kudryashov method and the functional variable method for the complex KdV equation
... the Kudryashov method and the functional variable method are used to construct exact solutions of the complex Korteweg-de Vries (KdV) ...The Kudryashov method and the functional ... See full document
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