We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg-Landau equation for fractal media are considered and different forms of the fractional Ginzburg-Landau equation or nonlinear Schrodinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied
This paper builds on the recently begun extension of continuum thermomechanics to fractal porous med...
In present work, nonlinear fractional partial differential equations namely transport equation and F...
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in ...
We use the fractional integrals in order to describe dynamical processes in the fractal media. We co...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
We investigate the local fractional linear transport equations arising in fractal porous media by us...
Ginzburg-Landau equation has a rich record of success in describing a vast variety of nonlinear phen...
We investigate the local fractional linear transport equations arising in fractal porous media by us...
The notion of fractional dynamics is related to equations of motion with one or a few terms with der...
In the article, the fractal heat-transfer models are described by the local fractional integral e...
We show a relation between fractional calculus and fractals, based only on physical and geometrical ...
"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media...
The study of nonlinear phenomena associated with physical phenomena is a hot topic in the present er...
Fractal and fractional calculus have important theoretical and practical value. In this paper, analy...
Our goal is to prove the existence of a connection between fractal geometries and fractional calculu...
This paper builds on the recently begun extension of continuum thermomechanics to fractal porous med...
In present work, nonlinear fractional partial differential equations namely transport equation and F...
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in ...
We use the fractional integrals in order to describe dynamical processes in the fractal media. We co...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
We investigate the local fractional linear transport equations arising in fractal porous media by us...
Ginzburg-Landau equation has a rich record of success in describing a vast variety of nonlinear phen...
We investigate the local fractional linear transport equations arising in fractal porous media by us...
The notion of fractional dynamics is related to equations of motion with one or a few terms with der...
In the article, the fractal heat-transfer models are described by the local fractional integral e...
We show a relation between fractional calculus and fractals, based only on physical and geometrical ...
"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media...
The study of nonlinear phenomena associated with physical phenomena is a hot topic in the present er...
Fractal and fractional calculus have important theoretical and practical value. In this paper, analy...
Our goal is to prove the existence of a connection between fractal geometries and fractional calculu...
This paper builds on the recently begun extension of continuum thermomechanics to fractal porous med...
In present work, nonlinear fractional partial differential equations namely transport equation and F...
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in ...