This study concerned with the synchronization problem over a finite-time domain for class of fractional-order stochastic neural networks via non-fragile controller discontinuous activation functions. Specifically, suggested state feedback sequentially cope scheme gain scheduling process. Notably, main objective this work is to obtained criterion resulting synchronized error system finite bound ...

We present some models of viscoelastic systems with long-memory behaviour; we then provide both thorough mathematical analysis and numerical simulations of these models by means of so-called diiusive representations. The models under consideration are the basic harmonic oscillator with fractional damping, the generalized Lokshin model of waves, and also the boundary feedback control of the Eule...

In this paper, a novel problem of observer-based adaptive fuzzy fractional control for fractional order dynamic systems with commensurate orders is investigated; the control scheme is constructed by using the backstepping and adaptive technique. Dynamic surface control method is used to avoid the problem of “explosion of complexity” which is caused by backstepping design process. Fuzzy logic sy...

In this paper, we consider three types of functions given by products of Bernoulli and Genocchi functions and derive some new identities arising from Fourier series expansions associated with Bernoulli and Genocchi functions. Furthermore, we will express each of them in terms of Bernoulli functions.

The bending of self-similar beams applying the Euler–Bernoulli principle is studied in this paper. A generalization standard beam equation FdH3 continuum using local fractional differential operators obtained. mapping a problem for into corresponding fractal defined. Displacements, rotations, moments and shear forces as functions parameters are estimated, allowing mechanical response to be esta...

in this paper rationalized haar (rh) functions method is applied to approximate the numerical solution of the fractional volterra integro-differential equations (fvides). the fractional derivatives are described in caputo sense. the properties of rh functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce t...