Differential Equations are very important tools in Mathematical Analysis. They are widely
found in mathematics itself and in its applications to statistics, computing, electrical circuit …

The aim of this note is to highlight one of the basic differences between fractional order and
integer order systems. It is analytically shown that a time invariant fractional order system …

We propose and analyze a new compartmental model of dengue transmission with memory
between human-to-mosquito and mosquito-to-human. The memory is incorporated in the …

In this paper the primary resonance of Duffing oscillator with fractional-order derivative is
researched by the averaging method. At first the approximately analytical solution and the …

In recent years, fractional-order differential operators, and the dynamic models constructed
based on these generalized operators have been widely considered in design and practical …

The purpose of this paper is to investigate optimal control the non-linear fractional-order
chaotic system of cancer cells by use of particle swarm optimization and genetic algorithms …

In this paper, a fractional-order recurrent neural network is proposed and several topics
related to the dynamics of such a network are investigated, such as the stability, Hopf …

In this paper, a novel hybrid compartmental model of the dengue transmission process is
proposed and studied with memory and relapse between host-to-vector and vice versa. The …

In this paper, it is shown that the fractional-order derivatives of a periodic function with a
specific period cannot be a periodic function with the same period. The fractional-order …

In this paper, a chaotic fractional-order modified hybrid optical system is presented. Some
basic dynamical properties are further investigated by means of Poincaré mapping …