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Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
(Natural Sciences, 2016)
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the
space of continuous functions and on the space of Lebesgue integrable functions on an interval is ...
An Euler-Lagrange Equation only Depending on Derivatives of Caputo for Fractional Variational Problems with Classical Derivatives
(International Academic Press, 2020-05-18)
In this paper we present advances in fractional variational problems with a Lagrangian depending on Caputo fractional and classical derivatives. New formulations of the fractional Euler-Lagrange equation are shown for the ...
Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator
(Natural Sciences Publishing, 2016-04)
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is ...
Linear fractional differential equations and eigenfunctions of fractional differential operators
(2018-05-01)
Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the ...
An alternative definition for the k-Riemann-Liouville fractional derivative
(Hikari Ltd., 2015-01)
The aim of this paper is to introduce an alternative definition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville ...
An alternative definition for the k-Riemann liouville fractional derivative
(Hikari Ltd, 2015)
The aim of this paper is to introduce an alternative de nition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-Riemann-Liouville ...
Fractional Order Modeling of a Nonlinear Electromechanical System
(Universidad UTE, 2018)
Fractional PID controller with lqr proportional action applied to fractional model of cement rotary kiln
This paper presents the design of a fractional
controller, which is applied to a fractional MISO model for
cement rotary kiln. The designed controller is a combination of a
fractional PID and a Linear Quadratic Regulator ...
New Caputo-Fabrizio fractional order SEIASqEqHR model for COVID-19 epidemic transmission with genetic algorithm based control strategy
Fractional derivative has a memory and non-localization features that make it very useful in modelling epidemics’ transition. The kernel of Caputo-Fabrizio fractional derivative has
many features such as non-singularity, ...