Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals
Copyright policy )Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals
This paper presents the approximate analytical solutions to the time fractional differential equations of elasticity for 3D quasicrystals with initial conditions. These equations are written in the form of a vector partial differential equation of the second order. The time fractional vector partial differential equations with initial conditions are solved by variational iteration method (VIM). The fractional derivatives are described in the Caputo sense. Numerical example shows that the proposed method is quite effective and convenient for solving kinds of time fractional system of partial differential equations.
- Pamukkale University Turkey
Fractional differential equations, Iterative methods, Initial conditions, Caputo sense, Time fractional anisotropic dynamic elasticity(3D), Caputo derivative, Approximate analytical solutions, 510, Numerical example, Second orders, Time fractional anisotropic dynamic elasticity(3D), Three-dimensional quasicrystals, Icosahedral quasicrystal, Variational iteration method, Caputo derivative., Three-dimensional quasicrystals, Fractional derivatives, Dynamic elasticity, Vector partial differential equation, Partial differential equations, Elasticity, Fractional systems, Icosahedral quasicrystals, Icosahedral quasicrystal, Caputo derivatives, Variational iteration method, Elasto-dynamics, Three dimensional computer graphics, Quasicrystals
Fractional differential equations, Iterative methods, Initial conditions, Caputo sense, Time fractional anisotropic dynamic elasticity(3D), Caputo derivative, Approximate analytical solutions, 510, Numerical example, Second orders, Time fractional anisotropic dynamic elasticity(3D), Three-dimensional quasicrystals, Icosahedral quasicrystal, Variational iteration method, Caputo derivative., Three-dimensional quasicrystals, Fractional derivatives, Dynamic elasticity, Vector partial differential equation, Partial differential equations, Elasticity, Fractional systems, Icosahedral quasicrystals, Icosahedral quasicrystal, Caputo derivatives, Variational iteration method, Elasto-dynamics, Three dimensional computer graphics, Quasicrystals
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!