Add to ORKGThe fractional derivative of order α, with 1 < α ≤ 2 appears in several diffusion problems used in physical and engineering applications. Therefore to obtain highly accurate approximations for this derivative is of great importance. Here, we describe and compare different numerical approximations for the fractional derivative of order 1 < α ≤ 2. These approximations arise mainly from the Grünwald–Letnikov definition and the Caputo definition and they are consis-tent of order one and two. In the end some numerical examples are given, to compare their performance
In this article, we present three types of Caputo-Hadamard derivatives of variable fractional order ...
The three dimensional diffusion equations were extended to the scope of fractional order derivati...
AbstractThis paper is devoted to the numerical treatment of fractional differential equations. Based...
Abstract: A one dimensional fractional diffusion model is considered, where the usual second-order d...
AbstractA one-dimensional fractional diffusion model is considered, where the usual second order der...
We present a new numerical tool to solve partial differential equations involving Caputo derivative...
We present a new numerical tool to solve partial differential equations involving Caputo derivative...
In this paper, a new definition for the fractional order operator called the Caputo-Fabrizio (CF) fr...
This dissertation presents new numerical methods for the solution of fractional differential equatio...
We propose a generalized theory to construct higher order Grünwald type approximations for fractiona...
The fractional derivative has a long history in mathematics dating back further than integer-order d...
We propose an efficient numerical method for a class of fractional diffusion-wave equations with the...
This paper presents an algorithmic approach for numerically solving Caputo fractional differentiation...
In this talk, I’d like to present an overview of our recent works on the finite difference methods f...
In this paper, we develop a new approximation technique for solving space fractional diffusion equat...
In this article, we present three types of Caputo-Hadamard derivatives of variable fractional order ...
The three dimensional diffusion equations were extended to the scope of fractional order derivati...
AbstractThis paper is devoted to the numerical treatment of fractional differential equations. Based...
Abstract: A one dimensional fractional diffusion model is considered, where the usual second-order d...
AbstractA one-dimensional fractional diffusion model is considered, where the usual second order der...
We present a new numerical tool to solve partial differential equations involving Caputo derivative...
We present a new numerical tool to solve partial differential equations involving Caputo derivative...
In this paper, a new definition for the fractional order operator called the Caputo-Fabrizio (CF) fr...
This dissertation presents new numerical methods for the solution of fractional differential equatio...
We propose a generalized theory to construct higher order Grünwald type approximations for fractiona...
The fractional derivative has a long history in mathematics dating back further than integer-order d...
We propose an efficient numerical method for a class of fractional diffusion-wave equations with the...
This paper presents an algorithmic approach for numerically solving Caputo fractional differentiation...
In this talk, I’d like to present an overview of our recent works on the finite difference methods f...
In this paper, we develop a new approximation technique for solving space fractional diffusion equat...
In this article, we present three types of Caputo-Hadamard derivatives of variable fractional order ...
The three dimensional diffusion equations were extended to the scope of fractional order derivati...
AbstractThis paper is devoted to the numerical treatment of fractional differential equations. Based...