‎in this paper‎, ‎a spectral tau method for solving fractional riccati‎ ‎differential equations is considered‎. ‎this technique describes‎ ‎converting of a given fractional riccati differential equation to a‎ ‎system of nonlinear algebraic equations by using some simple‎ ‎matrices‎. ‎we use fractional derivatives in the caputo form‎. ‎convergence analysis of the proposed method is given an...

In this paper‎, ‎a modern method is presented to solve a class of fractional optimal control problems (FOCPs) indirectly‎. ‎First‎, ‎the necessary optimality conditions for the FOCP are obtained in the form of two fractional differential equations (FDEs)‎. ‎Then‎, ‎the unknown functions are approximated by the hybrid functions‎, ‎including Bernoulli polynomials and Block-pulse functions based o...

This article studies the global Mittag-Leffler stability of fractional order fuzzy cellular neural networks via hybrid feedback controllers. Based on control technique Lyapunov approach, and some novel analysis techniques calculation, sufficient conditions are obtained to guarantee Global Mittag-Lefflers stability. Finally, two simulation example given illustrate effectiveness proposed method.

For sampling of time in a differential equation movement Thomson type oscillator (generator) it is offered to use combination the numerical method finite differences and an asymptotic slowl-changing amplitudes. The difference approximations temporal derivatives are selected so that, first, save conservatism natural frequency linear circuit self-oscillatory system discrete time. Secondly, coinci...

the present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. the proposed scheme is based on laplace transform and new homotopy perturbation methods. the fractional derivatives are considered in caputo sense. to illustrate the ability and reliability of the method some examples are provided. the results ob...

Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a nite number of extreme points and the denominator part of each of the objecti...

This paper concentrates on the study of decentralized fuzzy control method for a class fractional-order interconnected systems with unknown directions. To overcome difficulties caused by multiple directions in systems, novel Nussbaum function technique is proposed. much more general than those existing works since it not only handles single/multiple but also suitable fractional/integer-order si...

Eulers integers are less known than the classic Eulerian numbers, though, in figurate form, they appear since antiquity.* First, we shall look at their origin and find their general expression; then we shall establish some of their properties and give various combinatoric applications. Several results may not have been published previously. The notation of periodic numbers and the notion of ari...

recently, abbasbandy and asady have been proposed a modificationof the distance based approach, namely ``sign distance method''.however, in this paper, it is shown that this method has some drawbacks, i.e.,the result is not consistent with human intuition for specialcases and this method cannot always logically infer rankingorder of the images of the fuzzy numbers. in this paper, wepresent a re...