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 …

Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …

This book explains the quantitative reasoning required by the fractional calculus applied to
complex physical, social, and biological phenomena. Fractional calculus is inextricably …

The idea behind this study is to investigate the controllability of dynamical systems in terms
of the ψ-Caputo fractional derivative. The Grammian matrix is used to get at necessary and …

In this paper, we study the controllability of linear and nonlinear fractional damped
dynamical systems, which involve fractional Caputo derivatives, with different order in finite …

In this work, we discuss the controllability and observability behaviors of a non-
homogeneous conformable fractional dynamical system (C-FDS) based on the conformable …

The novel findings of this research utilizes Rothe's fixed point technique to examine the
relative controllability of neutral impulsive nonlinear differential system of arbitrary order …

The paper presents finite-dimensional dynamical control systems described by linear
fractional-order state equations with multiple delays in control. The constrained controls are …

In this article, we establish some sufficient conditions for total controllability of a neutral
fractional differential system with impulsive conditions in the finite-dimensional spaces. This …

Nowadays, the study of fractional differential equations (FDE s) is one of the most interesting
research topics. In this article, we study a novel nonlinear fractional order Langevin system …