This work analyzes the existence and partial-approximate controllability of non-local semi-
linear systems involving two Riemann-Liouville fractional derivatives without Lipschitz …

In this work, we aim to propose a mathematical formalism for the human liver involving
Caputo fractional derivative (CFD) with modified parameters. Regarding the proposed …

We consider linear time-varying control problems involving the Caputo fractional derivative.
By introducing the controllability Gramian matrix, we prove that the invertibility of the …

Explicit solutions of initial value problems for systems of linear Riemann–Liouville fractional
differential equations with constant delay | Advances in Continuous and Discrete Models Skip to …

The aim of the present paper is to study the asymptotic properties of the solutions of linear
fractional system with Riemann–Liouville-type derivatives and distributed delays. We prove …

In recent years, the theory for Leibniz integral rule in the fractional sense has not been able
to get substantial development. As an urgent problem to be solved, we study a Leibniz …

In this paper we give an explicit solution to Dzherbashyan-Caputo-fractional Cauchy
problems related to equations with derivatives of order νk, for k non-negative integer and ν> …

A new discrete fractional-order Peano-Baker series is established in this paper. Based on
this series, the explicit solutions of Caputo linear discrete fractional-order equations (DFOEs) …

Linear systems described by fractional differential equations (FDEs) with variable
coefficients involving Riemann–Liouville and Caputo derivatives are examined in the paper …

In this article, we explored the controllability of fractional dynamical systems with a single
delay in the control function with the Caputo fractional derivative. It is the first work in which …