Equations of motion are derived for a fractional dimensional system of n-spatial coordinates
to be used as an effective description of anisotropic and confined systems. An existing …

We report solutions for solitons of the “accessible” type in globally nonlocal nonlinear media
of fractional dimension (FD), viz., for self-trapped modes in the space of effective dimension …

In real life, many processes of practical interest in engineering, biological systems, detection
of diseases, and physics, among others, have the surface as a fundamental element. They …

A review of different approaches to describe anisotropic fractal media is proposed. In this
paper, differentiation and integration non-integer dimensional and multi-fractional spaces …

We suggest a generalization of vector calculus for the case of non-integer dimensional
space. The first and second orders operations such as gradient, divergence, the scalar and …

We examine the excitonic properties of layered configurations of low dimensional transition
metal dichalcogenides (LTMDCs) using the fractional dimensional space approach. The …

This paper is devoted to the development of the fractional space approach to physical
problems on fractals and in confined quasi-low-dimensional systems. The aim of this …

The Fourier transform method is used to solve fractional Poisson's equation with Riesz
fractional derivative of order α. It is shown that the solution is given in terms of the fractional …

We investigate a traveling Gaussian wave packet transport through a rectangular quantum
barrier of lévy crystals in fractional quantum mechanics formalism. We study both standard …

We present new results for time-independent solutions for a Schrödinger equation with
noninteger dimension by considering different, harmonic and anharmonic, forms for the …