An extension of stochastic differential models by using the Grunwald-Letnikov fractional derivative

Efficient computation of the Grünwald-Letnikov fractional diffusion derivative using adaptive time step memory

Article history: Received 1 June 2014 Received in revised form 15 April 2015 Accepted 29 April 2015 Available online 5 May 2015

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Fourth-order numerical solution of a fractional PDE with the nonlinear source term in the electroanalytical chemistry

The aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical chemistry. The space fractional derivative is described in the Riemann-Liouville sense. In the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the Grunwald- Letnikov discretization of the Ri...

an investigation into translation of cultural concepts by beginner and advance student using think – aloud protocols

this research aims at answering the questions about translation problems and strategies applied by translators when translating cultural concepts. in order to address this issue, qualitative and quantitative study were conducted on two groups of subjects at imam reza international university of mashhad. these two groups were assigned as beginner and advanced translation students (10 students). ...

existence and measurability of the solution of the stochastic differential equations driven by fractional brownian motion

Existence results for hybrid fractional differential equations with Hilfer fractional derivative

This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.