Analysis and new applications of fractal fractional differential equations with power law kernel

Study on stability analysis of distributed order fractional differential equations with a new approach

The study of the stability of differential equations without its explicit solution is of particular importance. There are different definitions concerning the stability of the differential equations system, here we will use the definition of the concept of Lyapunov. In this paper, first we investigate stability analysis of distributed order fractional differential equations by using the asympto...

Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

Applications of Fractional Differential Equations

By considering different definitions of fractional derevatives, we study some kind of fractional differential equations and also give some of there applications.

Fractional differential equations with Legendre polynomials

Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions

In this manuscript a new method is introduced for solving fractional differential equations. The fractional derivative is described in the Caputo sense. The main idea is to use fractional-order Legendre wavelets and operational matrix of fractional-order integration. First the fractional-order Legendre wavelets (FLWs) are presented. Then a family of piecewise functions is proposed, based on whi...