In this paper, wave propagation is considered in a medium described by fractional-order model, which formulated with the use of two-sided fractional derivative Ortigueira and Machado. Although relation to causality clearly specified its definition, there no obvious between transfer function induced derivative. Hence, system investigated; output an electromagnetic signal propagating media time-d...

Abstract This paper deals with the fractional calculus of zeta functions. In particular, study is focused on Hurwitz ? \zeta function. All results are based complex generalization Grünwald-Letnikov derivative. We state and prove functional equation together an integral representation by Bernoulli numbers. Moreover, we ...

An optimal control problem for the variable-order fractional-integer mathematical model of vaccination Covid 19 is presented in this research, where order derivatives varies during course time interval, becoming fractional or classical when it more favourable. The are defined here using both integral Riemann–Liouville and Caputo derivative. existence, uniqueness, boundedness positivity solution...

This paper presents a series of new results in modeling of the Grünwald-Letnikov discretetime fractional difference by means of discrete-time Laguerre filers. The introduced Laguerrebased difference LD and combined fractional/Laguerre-based difference CFLD are shown to perfectly approximate its fractional difference original, for fractional order α ∈ 0, 2 . This paper is culminated with the pre...

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...

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...

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...

Tumor diseases have killed many people around the world for centuries. For this purpose, a lot of scientists analyzed immune system’s cells in order to cope with tumor growths living beings. reason, we examine system reflecting relationship between and growth study. This is handled traditional Caputo fractional derivative. We give stability analysis equilibrium points solution properties system...

in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional differential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.