Fractional homotopy perturbation transform method
Solution of the fractional Zakharov-Kuznetsov equations by reduced dierential transform method
... years, fractional differential operators have played a very important role in various fields such as electrical circuits, biology, biome- chanics, viscoelasticity, ...decomposition method (ADM), the ...
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Vol 8, No 8 (2017)
... decades, fractional calculus has found diverse applications in different scientific and technological fields [1, 2], such as thermal engineering, acoustics, electromagnetism, control, robotics, viscoelasticity, ...
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Application of Homotopy Perturbation Sumudu Transform Method for Solving Nonlinear Fractional Heat-like Equations
... Fractional Dierential Equations (FDEs) have recently been applied to various areas of engineering, science, nance, applied mathematics, bio-engineering, and others. However, many researchers remain unaware of this ...
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Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... decade, fractional calculus has found applications in numerous seemingly diverse fields of science and ...engineering. Fractional differential equations are increasingly used to model problems in fluid ...
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Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... The homotopy perturbation method (HPM) is extended to drive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional ...The homotopy ...
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A new fractional analytical approach for treatment of system of physical models by using Laplace Transform
... the Homotopy Perturbation Transform Method (HPTM) is performed to give approximate and analytical solutions of the rst order linear and nonlinear system of a time fractional partial ...
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Exact solutions for linear systems of local fractional partial differential equations
... decomposition method (ADM) [2], homotopy perturbation method (HPM) [3], variational iteration method (VIM) [4], Fourier transform method [5], Fourier series method ...
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Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
... the homotopy perturbation transform method (HPTM) to solve nonlinear fractional partial differential equations using the fractional operator of Caputo- Fabrizio ...of ...
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Multi-stage Homotopy-perturbation Method for the Fractional Order Chen System
... Chen fractional order system, the solution of the Chua’s fractional order system is much ...Laplace transform method, Mellin transform method, fractional Green’s function ...
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Study on Approximate Solution of Fractional Order Biological Population Model
... Differential Transform method (DTM) [11],[12],[13], Adomian Decomposition method (ADM) [14],[15],[16], Homotopy Perturbation method (HPM) [17],[18],[19], Variational Iteration ...
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Approximate Analytical Solutions Of The Fractional Nonlinear Dispersive Equations Using Homotopy Perturbation Sumudu Transform Method (Hpstm)
... Sumudu transform method with the Homotopy perturbation method to solve nonlinear ...This method is called the Homotopy perturbation Sumudu transform ...
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An approximate analytical solution of the fractional multi dimensional Burgers equation by the homotopy perturbation method
... Caputo fractional derivative for the time and the space ...Riemann–Liouville fractional derivative Burgers ...the fractional Burgers equation by using the fractional complex ...
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Analytical approximation solution of a mathematical modeling of reaction-diffusion Brusselator system by reduced differential transform method
... Caputo-type fractional derivative of order α, β [1, 7]. Fractional differential operators have played a very important role in various fields such as electrical circuits, biology, biomechanics, viscoelas- ...
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Applications of Homotopy perturbation Method and Sumudu Transform for Solving Fractional Initial Boundary Value problem and Fractional KDV Equation A. S. Abedl-Rady , S. Z. Rida , A. A. M. Arafa , and H. R. Abedl-Rahim
... the homotopy perturbation Sumudu transform method (HPSTM) is successfully applied for getting the analytical exact solution of the fractional initial-boundary value problem (IBVP) and ...
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Comparison of Methods for Solving Time-Fractional Drinfeld-Sokolov-Wilson System
... include homotopy perturbation transform method [8], residual power series method (RPSM) [9], [16], coupled fractional reduced differential transform method (CFRDTM) ...
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Homotopy Perturbation Method For Fractional Gas Dynamics Equation Using A New Local Fractional Integral Transform.
... the homotopy perturbation α-integral transform method is successfully applied for solving nonlinear time fractional gas dynamics ...this method is very powerful and efficient ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... the homotopy perturbation Sumudu transform method (HPSTM) is extended to solve linear and nonlinear fractional Klein-Gordon ...the method, some examples are ...of homotopy ...
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Solution of Third Order Korteweg De Vries Equation by Homotopy Perturbation Method Using Elzaki Transform
... Elzaki transform [1] coupled with Homotopy Perturbation Method [3] that can be applied to higher order partial differential equations for finding exact as well as approximate solutions of the ...
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New Approach for Solving Three Dimensional Space Partial Differential Equation
... new transform method to solve partial differential equations, for finding suitable accurate solutions in a wider ...new transform is combined with the homotopy perturbation ...
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A New Approach Towards Laplace Homotopy Perturbation Method
... Abstract. Laplace Homotopy Perturbation method is projected in a modified form to solve highly nonlinear differential equations.This approach simplifies the equations and avoid the computations of ...
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