Results 21 to 30 of about 20,395 (261)
Journal of Ocean Engineering and Science, 2019 This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.
L.A. Alhakim, A.A. Moussa
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Advances in Mathematical Physics, 2019 The motivation of this study is to construct the truncated solution of space-time fractional differential equations by the homotopy analysis method (HAM).
Ali Demir +2 more
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Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
Results in Physics, 2017 This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method.
Sadaf Bibi +4 more
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Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method
Advances in Mathematical Physics, 2021 In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in
Suleyman Cetinkaya +2 more
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Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2010 1 School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane, Qeensland 4001, Australia 2 Department of Statistics and Probability, Michigan State University, A416 Wells Hall, East Lansing, MI 48823, USA 3 Department of Mathematics, Mu'tah University, P.O.
Fawang Liu +5 more
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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
The Scientific World Journal, 2014 We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
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Linearized asymptotic stability for fractional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differential equation is asymptotically stable if its linearization at the ...
Nguyen Cong +3 more
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Differential transform method for conformable fractional partial differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative.
M. Eslami, S.A. Taleghani
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Mixed Collocation for Fractional Differential Equations
Numerical Algorithms, 2003 This paper is concerned with the numerical solution of the initial value problem for the fractional differential equation of order \( \beta, \) \(( 0 < \beta < 1 )\) given by \( D^{\beta} ( u - u_0) = \Phi ( u(t), t), t>0 \), with \( u - u_0 = 0, t \leq 0\) where \( \Phi \) is a sufficiently regular function and \( D^{\beta}\) is the fractional ...
Dubois, François, Mengué, Stéphanie
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Universal Journal of Mathematics and Applications, 2019 In this paper, the existence and uniqueness problem of the initial and boundary value problems of the linear fractional Caputo-Fabrizio differential equation of order $\sigma \in (1,2]$ have been investigated.
Şuayip Toprakseven
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