A time-fractional heat equation arising in a quiescent medium is established, and its approximate analytical solution obtained by the fractional power series method. The results show that method performs extremely well terms of efficiency simplicity.

In this paper, a strategy based on the Sliding Mode Control(SMC) is used to achieve the Boolean input for DC-DC buck converter. Three di¤erent surfaces are proposed in order to design integer order and fractional order controller. Unlike conventional methods, sliding mode controllers designed through this methodology directly produce Boolean control actions, avoiding the usability of pulse-widt...

This paper presents new limit theorems for power variations of fractional type symmetric infinitely divisible random fields. More specifically, the field X=(X(t))t?[0,1]d is defined as an integral a kernel function g with respect to measure L and observed on grid mesh size n?1. As n??, first order limits are obtained variation statistics constructed from rectangular increments X. The present wo...