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

In this article, the fractional-order differential equation of particle sedimentation was obtained. It considers Basset force’s fractional origin and contains Riemann–Liouville integral rewritten as a Grunwald–Letnikov derivative. As result, general solution proposed found analytically. The belonging to real range values strictly theoretically proven. obtained validated on particular analytical...

The design of sensor fault detection and isolation (FDI) systems has been studied widely by several authors different fields science (engineering, mathematics, physics) to ensure the continuous operation or processes. This research presents evaluation a system based on discrete fractional-orderhigh-gain observers (DFOHGO) for outlet temperature sensors heat exchanger. formulation fractional-ord...

In this paper, we consider some aspects of the numerical analysis mathematical model fractional Duffing with a derivative variable order Riemann-Liouville type. Using methods: an explicit finite-difference scheme based on Grunwald-Letnikov and Adams-Bashford-Moulton approximations (predictor-corrector), proposed is found. These methods have been verified test case. It shown that predictor-corre...

The goal of this article is to develop local discontinuous Galerkin (LDG) schemes for solving a time fractional equation describing the ultrasonic wave in homogeneous isotropic porous material. Two novel semi-discrete LDG are designed considered model. constructed by splitting original model into coupled system. first scheme follows traditional method second-order space derivative. second one s...

In this paper, a novel hybrid texture feature set and fractional derivative filter-based breast cancer detection model is introduced. This paper also introduces the application of histogram linear bipolar pattern features (HLBP) for thermogram classification. Initially, tissues are separated by masking operation filtered Grmwald–Letnikov derivative-based Sobel mask to enhance rectify noise. A u...

• We propose a discrete fractional order model to analyze the behaviour of an epidemic process with indirect transmission. Our main contribution is study influence and memory steps on solution. The stability around equilibrium points our analyzed. obtain some bounds tan introduction derivhe population size assure nonnegativity solution model. A proposed This based version Grunwald-Letnikov deri...

An effective design procedure has been introduced for implementing the fractional order integrator structures with a modified low pass filters (LPFs) and its functionality is verified by realizing fractional-order chaotic system. In these applications, state variables of Sprott’s Jerk system are emulated first LPFs. Since discrete device based designs have hard adjustment features circuit compl...

Fractional calculus has been proved to be very effective in representing the visco-elastic relaxation response of materials with memory such as polymers. Moreover, modeling temperature dependency material functions thermo-visco-elasticity, standard time–temperature superposition principle is known ineffective most cases (thermo-rheological complexity). In this work, a novel finite element formu...