Fractional Burgers wave equation
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mechanica"
DOI: 10.1007/s00707-019-02500-0
Abstract: Thermodynamically consistent fractional Burgers constitutive models for viscoelastic media, divided into two classes according to model behavior in stress relaxation and creep tests near the initial time instant, are coupled with the equation of motion… read more here.
Keywords: fractional burgers; solution; wave equation; burgers wave ... See more keywords
Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin
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DOI: 10.1016/j.rinp.2021.104210
Abstract: Abstract Through the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers’ model in fulness of overdetermination Robin boundary condition. Details theoretical explanations are… read more here.
Keywords: time; fractional burgers; reproducing kernel; pointwise numerical ... See more keywords
Deep neural network method for solving the fractional Burgers-type equations with conformable derivative
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DOI: 10.1088/1402-4896/acd307
Abstract: In this article, we introduce the modified physics-informed neural network (PINN) method for finding data-driven solutions of three classes of time-fractional Burgers-type equations under the conformable sense. Since conformable derivative satisfies the chain rule, automatic… read more here.
Keywords: neural network; type equations; equations conformable; fractional burgers ... See more keywords
Symmetry operators and exact solutions of a type of time-fractional Burgers–KdV equation
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819500324
Abstract: In this paper, group analysis of the fourth-order time-fractional Burgers–Korteweg–de Vries (KdV) equation is considered. Geometric vector fields of Lie point symmetries of the equation are investigated and the corresponding optimal system is found. Similarity… read more here.
Keywords: fractional burgers; equation; kdv equation; time fractional ... See more keywords