The importance of plant genetic diversity (PGD) is now being recognized as a specific area
since exploding population with urbanization and decreasing cultivable lands are the critical …

We present an overview of the literature on solutions to impulsive Caputo fractional
differential equations. Lyapunov direct method is used to obtain sufficient conditions for …

In this paper we prove an elementary lemma which estimates fractional derivatives of
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …

In this article, we discuss the asymptotic stability and mean square stability of stochastic
differential equations of fractional-order 1< α≤ 2. We have considered the family of …

According to conventional memristive neural network theories, neurodynamic properties are
powerful tools for solving many problems in the areas of brain-like associative learning …

In this paper, by using fixed-point methods, we study the existence and uniqueness of a
solution for the nonlinear fractional differential equation boundary-value problem D α u (t)= f …

Non-instantaneous Impulses in Differential Equations | SpringerLink We’re sorry, something
doesn't seem to be working properly. Please try refreshing the page. If that doesn't work …

The paper describes the stability area for the difference system (Δαy)(n+ 1− α)= Ay (n), n= 0,
1,..., with the Caputo forward difference operator Δα of a real order α∈(0, 1) and a real …

This technical note studies the leader-following tracking consensus problem of a class of
multi-agent systems where the dynamics of the leader is described by second-order …

In this paper, a fractional dynamical system of predator–prey with Holling type-II functional
response and time delay is studied. Local and global stability of existence steady states and …