On a numerical method for recovery of fractional derivative order in the generalized wave equation
Background. The purpose of the paper is the development of a computational algorithm for approximate recovery of derivative order in the generalized wave equation.
V.A. Ryazantsev
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In this paper, a new iterative method (NIM) is used to obtain the exact solutions of some nonlinear time-fractional partial differential equations. The fractional derivatives are described in the Caputo sense. The method provides a convergent series with
Hüseyin Koçak, Ahmet Yıldırım
doaj
About gauge equivalent of the generalized Landau-Lifshitz equation
In mathematics an inverse scattering transformation is a method for solving some nonlinear equations with partial derivatives. Discovering of the method became one of the crucial events in mathematical physics in the last 40 years [1]–[6].
Ж. Х. Жунусова +2 more
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Numerical Solutions of a Fractional Predator-Prey System
We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics system.
Xin Baogui, Liu Yanqin
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
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Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]
Hussein HH, Alexan W, Kandil SA.
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Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]
Benková K, Pearson JW, Ptashnyk M.
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Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]
Elsaid Ramadan M +4 more
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Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]
Khan MI +6 more
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Optical wave propagation in magneto-optic waveguides with generalized anti-cubic model. [PDF]
Baber MZ +4 more
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