Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

In this article, we discuss the existence and uniqueness of solution to fractional order
ordinary and delay differential equations. We apply our results on the single species model …

NON-EXISTENCE OF GLOBAL SOLUTIONS FOR A DIFFERENTIAL EQUATION INVOLVING
HILFER FRACTIONAL DERIVATIVE 1. Introduction We study th Page 1 Electronic Journal of …

Motivated by the Hilfer fractional derivative (which interpolates the Riemann‐Liouville
derivative and the Caputo derivative), we consider a new type of fractional derivative (which …

This paper studies a fractional differential inequality involving a new fractional derivative
(Hilfer‐Hadamard type) with a polynomial source term. We obtain an exponent for which …

In this paper, we establish a uniform framework to deal with varying tracking problem in the
finite time interval for fractional order system. In order to tracking the reference trajectory …

In this paper, we discuss the existence of a center stable manifold for planar fractional
damped equations. By constructing a suitable Lyapunov–Perron operator via giving …

By the Schauder fixed point theorem and generalized Ascoli-Arzela theorem, we present
that the Riemann-Liouville fractional differential equation has at least one globally attractive …

We study the long-time behavior of solutions for a general class of nonlinear fractional
differential equations. These equations involve Hadamard fractional derivatives of different …

Some new weakly singular integral inequalities are established by a new method, which
generalize some results of this type in some previous papers. By these new integral …