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Unexpected behavior of Caputo fractional derivative
(2017-09-01)
This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian ...
k-Fractional trigonometric functions
(Hikari Ltd, 2014-08)
Based on the k-Mittag-Lefler function and the k-α-Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions ...
k-Fractional trigonometric functions
(Hikari Ltd, 2014)
Based on the k-Mittag-Lefler function and the k- -Exponential Function
we introduce families of functions that allows us define new fractional
trigonometric functions that contain the classical trigonometric
functions ...
Analysis of Equivalent Circuits for Cells: A Fractional Calculus Approach
(Facultad de Ingeniería, 2012)
Integración de Fracciones Racionales
(2020-02-24)
El video presenta la técnica integración para fracciones racionales, considerando las fracciones propias e impropias por fracciones parciales. Contiene ejemplos y ejercicios.
Analysis of fractional-order models for hepatitis B
(2018-09-01)
This paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters that indicate drug therapy, while the second one considers the drug therapy. ...
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies
(2021-11-01)
This work deals with mathematical modeling applied to the Human Immunodeficiency Virus. Mathematical aspects analysis is presented, discussed and reviewed. A new model based on the Fractional Calculus theory is proposed. ...
Boundedness of the solutions for certain classes of fractional differential equations with application to adaptive systems
(Elsevier, 2016)
This paper presents the analysis of three classes of fractional differential equations appearing in the field of fractional adaptive systems, for the case when the fractional order is in the interval alpha is an element ...
Condition-based Diagnosis Of Mechatronic Systems Using A Fractional Calculus Approach
(TAYLOR & FRANCIS LTDABINGDON, 2016)
Condition-based Diagnosis Of Mechatronic Systems Using A Fractional Calculus Approach
(Taylor & Francis LtdAbingdon, 2016)