Scholarship 12/07316-0 - Transformada de Laplace, Transformada de Fourier - BV FAPESP
Advanced search
Start date
Betweenand

Fractional calculus and Bernoullis differential equation

Grant number: 12/07316-0
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Start date until: May 01, 2012
End date until: April 30, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Rubens de Figueiredo Camargo
Grantee:Bruno Rodrigo Martins
Host Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil

Abstract

This study focuses on differential equations and their applications in problems related to engineering, more specifically, to study the mathematical modeling and methodology of integral transforms of Laplace and Fourier, addressing their definitions, conditions of existence, properties, and applications of convolution theorems. In addition, we intend to study full order derivatives and non-integer, the so-called fractional calculus, its origin, the main definitions, and properties, aiming to work his modeling differential equations with non-integer order, in order to refine the description given by its equation of entire order. With regard to applications, solving ordinary differential equations arising in engineering problems, we intend to propose and solve the fractional version of the classic Bernoulli ordinary differential equation and recover the classical solution as a particular case.(AU)

News published in Agência FAPESP Newsletter about the scholarship:
More itemsLess items
Articles published in other media outlets ( ):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Please report errors in scientific publications list using this form.