In this paper, dynamics of time-dependent fractional-in-space nonlinear Schrödinger
equation with harmonic potential V(x),x∈R in one, two and three dimensions have been …

The Riesz fractional derivative has been employed to describe the spatial derivative in a
variety of mathematical models. In this work, the accuracy of the finite element method (FEM) …

Evolution systems containing fractional derivatives can result to suitable mathematical
models for describing better and important physical phenomena. In this paper, we consider …

In this article, we apply the newly introduced numerical method which is a combination of
Sumudu transforms and Homotopy analysis method for the solution of time fractional third …

A reliable and efficient numerical technique for the approximation of Riesz fractional partial
differential equations with chaotic and spatiotemporal chaos properties is developed in this …

In this work, we use the similarity method to solve fractional order partial differential
equations where the fractional derivative is defined in Riesz sense. Two examples are …

Recent studies have demonstrated the benefits of using fractional derivatives to simulate a
blood pressure profile. In this work we propose to combine a one-dimensional model of …

The theory yields a partial differential equation initially introduced by Fokker and Planck, and
presently called the Fokker-Planck equation. The most popular numerical methods that have …

In this paper, a mixed matrix transform method with fractional centered difference scheme for
solving fractional diffusion equation with Riesz fractional derivative was examined. It was …

Metamaterials (MMs) are artificially invented materials that show the properties which are
not found in naturally occuring materials [39-41, 12]. They are the man-made artificial …