### FRActional CALculus MOdelling

Furthermore papers related to Fractional Calculus Modelling by promoters and/or their associates can be down-loaded. The WEB project has been presented on 7 December 2000 at the Free University of Berlin in the occasion of the Fest-colloquium in honour of Rudolf GORENFLO for his 70-th birthday.

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Almusharrf Amera "Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model" (2011).Masters Theses Specialist Projects.Paper 1048. application of fractional calculus to pharmacokinetic model which is used to study the drug concentration in the body. CHAPTER 1

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Nov 10 2011 · An Effective Numerical Method and Its Utilization to Solution of Fractional Models Used in Bioengineering Applications. This paper deals with the fractional-order linear and nonlinear models used in bioengineering applications and an effective method for their numerical solution. The proposed method is based on the power series

Get Price### FRActional CALculus MOdelling

Furthermore papers related to Fractional Calculus Modelling by promoters and/or their associates can be down-loaded. The WEB project has been presented on 7 December 2000 at the Free University of Berlin in the occasion of the Fest-colloquium in honour of Rudolf GORENFLO for his 70-th birthday.

Get Price### Advanced Topics on Applications of Fractional Calculus on

The next three Chapters (5 6 7) are related to applications of fractional calculus in bio-engineering fields. Chapter 5 is dedicated to the mathematical modeling of skin structure applying fractional calculus where it is proposed the skin structure as a more complex system consisting of several layers which describes series

Get Price### Fractional models and their applications

Nov 10 2011 · An Effective Numerical Method and Its Utilization to Solution of Fractional Models Used in Bioengineering Applications. This paper deals with the fractional-order linear and nonlinear models used in bioengineering applications and an effective method for their numerical solution. The proposed method is based on the power series

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Application of fractional calculus in modelling ballast deformation under cyclic loading for geotechnical applications. The original fractional plasticity is reformulated in this study by

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Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless the application of FC just emerged in the last two decades due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a

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Jan 22 2020 · Generally speaking fractional-order calculus can be used to better describe the systems with memory effect and it is widely used in different fields including quantum mechanics electromagnetic oscillations control and material mechanics. 14–19 14. H. Rudolf Applications of Fractional Calculus in Physics (World Scientific 2000). 15.

Get Price### Applications of Fractional CalculusIJERT Journal

4. Modeling of speech signals using fractional calculus In this paper a novel approach for speech signal modeling using fractional calculus is presented. This approach is contrasted with the celebrated Linear Predictive Coding (LPC) approach which is based on integer order models. It is demonstrated via numerical simulations that by using a few

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The second edition of the book has been expanded and now includes a discussion of additional newly developed numerical methods for fractional calculus and a chapter on the application of

Get Price### Fractional Equations and ModelsTheory and Applications

Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory as it might have once seemed.

Get Price### A fractional elasto-viscoplastic model for describing

Jun 30 2020 · In order to solve the analytical solution of the general rate-dependent model and make the theoretical model better reflect the creep behavior of soil the fractional calculus theory is applied to the EVP (elastic–viscoplastic) model based on the overstress theory. A fractional strain rate model is proposed to construct a constitutive equation of fractional strain rate.

Get Price### Fractional Equations and ModelsTheory and Applications

Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory as it might have once seemed.

Get Price### 1706.06446 The Concepts and Applications of Fractional

Jun 20 2017 · Recently researchers have been applying fractional calculus in order for probing viscoelasticity of such materials with a high precision. Fractional calculus is a powerful tool for modeling complex phenomenon. In this tutorial based paper we try present clear descriptions of the fractional calculus its techniques and its implementation.

Get Price### Advanced Topics on Applications of Fractional Calculus on

The next three Chapters (5 6 7) are related to applications of fractional calculus in bio-engineering fields. Chapter 5 is dedicated to the mathematical modeling of skin structure applying fractional calculus where it is proposed the skin structure as a more complex system consisting of several layers which describes series

Get Price### Applications of Fractional CalculusHikari

the application of fractional calculus in physics continuum mechanics signal processing and electromagnetics. Here we state some of applications. 1. First one It may be important to point out that the ﬁrst application of fractional calculus was made by Abel() in the solution of an integral

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Yifei Sun Changjie Zheng Fractional-order modelling of state-dependent non-associated behaviour of soil without using state variable and plastic potential Advances in Difference Equations 10.1186/s 2019 1 (2019).

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Results show that the application of the fractional derivatives to the viscoelastic constitutive model can effectively reduce the number of the required parameters while giving an accurate prediction of viscoelastic behaviours of solid propellants.

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A mechanical model for conebolts 2017 Application of fractional calculus in modelling ballast deformation under cyclic loading 2017 Analytical solution and numerical simulation of vacuum consolidation by vertical drains beneath circular embankments 2016 Influence of biodegradable natural fibre drains on the radial consolidation of soft soil 2016

Get Price### A fractional elasto-viscoplastic model for describing

Jun 30 2020 · In order to solve the analytical solution of the general rate-dependent model and make the theoretical model better reflect the creep behavior of soil the fractional calculus theory is applied to the EVP (elastic–viscoplastic) model based on the overstress theory. A fractional strain rate model is proposed to construct a constitutive equation of fractional strain rate.

Get Price### Fractional calculusWikipedia

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator D = () and of the integration operator J = ∫ () and developing a calculus for such operators generalizing the classical one.. In this context the term powers refers to iterative application of a

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Applications of fractional calculus to epidemiological models. Epidemiological spreading does not only happen from person to neighbouring person but often over wide distances when infected but asymptomatic persons travel and carry infection to others over wide distances. Superdiffusion has been suggested to model such spreading in spatially

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Results show that the application of the fractional derivatives to the viscoelastic constitutive model can effectively reduce the number of the required parameters while giving an accurate prediction of viscoelastic behaviours of solid propellants.

Get Price### Application of Fractional Calculus to Rainfall Streamflow

fractional relaxation model is overcome by application of the Laplace transform of the pulse rainfall hyetograph following Wang and Wu (1983). The model parameters are fitted using the genetic algorithm. The fractional order cascade equations are tested for classical rainfall-runoff modelling using a set of 22 events for the River Nenagh.

Get Price### Applications of Fractional CalculusHikari

the application of fractional calculus in physics continuum mechanics signal processing and electromagnetics. Here we state some of applications. 1. First one It may be important to point out that the ﬁrst application of fractional calculus was made by Abel() in the solution of an integral

Get Price### Application of Fractional Calculus to Rainfall Streamflow

fractional relaxation model is overcome by application of the Laplace transform of the pulse rainfall hyetograph following Wang and Wu (1983). The model parameters are fitted using the genetic algorithm. The fractional order cascade equations are tested for classical rainfall-runoff modelling using a set of 22 events for the River Nenagh.

Get Price### FRActional CALculus MOdelling

Furthermore papers related to Fractional Calculus Modelling by promoters and/or their associates can be down-loaded. The WEB project has been presented on 7 December 2000 at the Free University of Berlin in the occasion of the Fest-colloquium in honour of Rudolf GORENFLO for his 70-th birthday.

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Variable-order fractional calculus (VO-FC) is a relatively less known branch of calculus that offers remarkable opportunities to simulate interdisciplinary processes. Recognizing this untapped potential the scientific community has been intensively exploring applications of VO-FC to the modelling of engineering and physical systems.

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