Fractional Differential Equations
Mostrando 1-9 de 9 artigos, teses e dissertações.
-
1. Análise do Método Multi-Passos com Transformada Diferencial Generalizada na Modelagem Fracionária
RESUMO Apresenta-se uma análise crítica de uma técnica numérica que tem sido usada na resolução de equações diferenciais de ordem fracionária com derivadas de Caputo. Trata-se do método multi-passos com transformada diferencial generalizada. Verifica-se que a versão do método disponível na literatura produz soluções erradas a partir do segundo
TEMA (São Carlos). Publicado em: 10/06/2019
-
2. Fractional heat conduction with finite wave speed in a thermo-visco-elastic spherical shell
This problem deals with the thermo-elastic interaction due to step input of temperature on the stress free boundaries of a homogeneous visco-elastic orthotropic spherical shell in the context of a new consideration of heat conduction with fractional order generalized thermoelasticity. Using the Laplace transformation, the fundamental equations have been expr
Lat. Am. j. solids struct.. Publicado em: 2014-12
-
3. Operational Tau approximation for a general class of fractional integro-differential equations
In this work, an extension of the algebraic formulation of the operational Tau method (OTM) for the numerical solution of the linear and nonlinear fractional integro-differential equations (FIDEs) is proposed. The main idea behind the OTM is to convert the fractional differential and integral parts of the desired FIDE to some operational matrices. Then the F
Computational & Applied Mathematics. Publicado em: 2011
-
4. Introdução ao cálculo de ordem arbitrária / Introduction to the arbitrary order calculus
Efetuamos um levantamento histórico concernente ao cálculo integral e diferencial de ordem arbitrária, também conhecido como cálculo de ordem fracionária ou ainda cálculo fracionário, com o intuito de justificar sua importância, nos dias de hoje, a partir de uma audaciosa e profética frase proferida por Leibniz. A partir das várias definições pa
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 30/09/2010
-
5. Fractional calculus and applications / Calculo fracionario e aplicações
At this work we present a systematic and detailed study about integrals and derivatives of arbitrary order, the so-called non-integer order calculus, popularized with the name Fractional Calculus. Particularly, we discuss and solve non-integer order differential and integrodifferential equations and its applications into several areas of the knowledge, as we
Publicado em: 2009
-
6. Modelling and evaluation of industrial plants useful life extension / Modelagem e avaliação da extensão da vida útil de plantas industriais
During the useful life of an industrial plant, the failure occurrence follows an exponential distribution. However, the aging process in an industrial plant generates an increase of the failure number. The failure probability is a rating for the maintenance stopping process. In this paper, an statistical method for the assessment of the failure probability a
Publicado em: 2008
-
7. Numerical solution for multi-term fractional (arbitrary) orders differential equations
Our main concern here is to give a numerical scheme to solve a nonlinear multi-term fractional (arbitrary) orders differential equation. Some results concerning the existence and uniqueness have been also obtained.
Computational & Applied Mathematics. Publicado em: 2004
-
8. Fractal ladder models and power law wave equations
The ultrasonic attenuation coefficient in mammalian tissue is approximated by a frequency-dependent power law for frequencies less than 100 MHz. To describe this power law behavior in soft tissue, a hierarchical fractal network model is proposed. The viscoelastic and self-similar properties of tissue are captured by a constitutive equation based on a lumped
Acoustical Society of America.
-
9. In vivo release kinetics of octreotide acetate from experimental polymeric microsphere formulations using oil/water and oil/oil processes
The purpose of the present study was to characterize the in vivo release kinetics of octreotide acetate from microsphere formulations designed to minimize peptide acylation and improve drug stability. Microspheres were prepared by a conventional oil/wate (o/w) method or an experimental oil/oil (o/o) dispersion technique. The dosage forms were administered su
Springer-Verlag.