In this paper, we study the asymptotic stability of three fractional scalar systems by using the method of universal adaptive stabilization: (I) Fractional dynamics with integer-order control strategy, (II) Fractional dynamics with fractional control strategy, and (III) Application of fractional viscoelastic and electromagnetic theories in universal adaptive stabilization. It is shown that the ...

In this paper, we introduce a logarithmic Mittag-Leffler function and discuss some of its properties. The application these properties become helpful in extension Pochhammer’s type contour integral representations Rodrigues formulae known hypergeometric functions. On point view, relations are discussed which useful interpreting the phenomenon spread infectious diseases terms Lauricella’s multiple

The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus operators. It shown that the derivative integral operators are bounded. Some fundamental characteristics of new operators, such as semi-group inverse characteristics, studied. As special cases these novel several already well known in literature acquired. generalized Laplace transform evaluated. By ...

This paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response chaotic behaviors. Firstly, give a representation solution for system. Secondly, some useful sufficient conditions are investigated by using matrix type Mittag-Leffler function, Jacobian via process, stability analysis feedback control technique to...