Antisynchronization phenomena are studied in nonidentical fractional-order differential systems. The characteristic feature of antisynchronization is that the sum of relevant state-variables vanishes for sufficiently large value of time variable. Active control method is used first time in the literature to achieve antisynchronization between fractional-order Lorenz and Financial systems, Finan...

An optical implementation of the fractional Fourier transform (FRT) with broadband illumination is proposed by use of a single imaging element, namely, a blazed diffractive lens. The setup displays an achromatized version of the FRT of order P of any two-dimensional input function. This fractional order can be tuned continuously by shifting of the input along the optical axis. Our compact and f...

The concept of differentiation and integration to non-integer order has its origins in the seventeen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control...

Quadrotor systems are becoming increasingly popular in various applications due to their maneuverability and versatility. Controlling these accurately is crucial ensure stability safety. This research paper proposes the implementation of two advanced controllers with integer fractional order quadrotor systems. The purpose study enhance control performance, robustness, accuracy system, highlight...

Abstract In this paper, an online optimization approach of a fractional-order PID controller based on actor-critic algorithm (FOPID-FOAC) is proposed. The proposed FOPID-FOAC scheme exploits the advantages FOPID and FOAC approaches to improve performance nonlinear systems. built by developing FO-based learning for neural network with adaptive rates. Moreover, FO rectified linear unit (RLU) intr...

Using some investigations based on information theory, the model proposed by Keller and Segel was extended to the concept of fractional derivative using the derivative with fractional order without singular kernel recently proposed by Caputo and Fabrizio. We present in detail the existence of the coupled-solutions using the fixed-point theorem. A detailed analysis of the uniqueness of the coupl...

this paper presents a robust fractional order controller for flexible-joint electrically driven robots under imperfect transformation of control space. the proposed approach is free from manipulator dynamics, thus free from problems associated with torque control strategy in the design and implementation. as a result, the proposed controller is simple, fast response and superior to the torque c...

This paper addresses problems on the interception of hypersonic vehicles in near-space. The main contribution is to study a head pursuit guidance law based fractional-order sliding mode theory and analyze stability provided. Firstly, differential operator, which has characteristics such as fast convergence memory, introduced into design surface, can be designed improve performance system. this ...

‎In this article‎, we use a finite difference technique‎ ‎to solve variable-order fractional integro-differential equations‎ ‎(VOFIDEs‎, ‎for short)‎. ‎In these equations‎, ‎the variable-order fractional integration(VOFI) and‎ ‎variable-order fractional derivative (VOFD) are described in the‎ ‎Riemann-Liouville's and Caputo's sense,respectively‎. ‎Numerical experiments‎, ‎consisting of two exam...