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Fractional order optimal control problems with free terminal time

We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary conditions for a state/control/terminal- time triplet to be optimal are obtained. Situations with constraints present at the end time are also considered. Under appropriate assumptions, it is shown that the obtained necessary optimal...

An expansion formula with higher-order derivatives for fractional operators of ...

We obtain approximation formulas for fractional integrals and derivatives of Riemann-Liouville and Marchaud types with a variable fractional order. The approximations involve integer-order derivatives only. An estimation for the error is given. The efficiency of the approximation method is illustrated with examples. As applications, we show how the obtained results are useful to solve differential equations, an...

Existence of three positive solutions to some p-Laplacian boundary value problems

We obtain, by using the Leggett-Williams fixed point theorem, sufficient conditions that ensure the existence of at least three positive solutions to some p-Laplacian boundary value problems on time scales. © 2013 Moulay Rchid Sidi Ammi and Delfim F. M. Torres.

Aspergillus versicolor and trichoderma virens as contamination agents in a muse...

Approximation of fractional integrals by means of derivatives

We obtain a new decomposition of the Riemann-Liouville operators of fractional integration as a series involving derivatives (of integer order). The new formulas are valid for functions of class C-n, n is an element of N, and allow us to develop suitable numerical approximations with known estimations for the error. The usefulness of the obtained results, in solving fractional integral equations and fractional ...

Expansion formulas in terms of integer-order derivatives for the Hadamard fract...

We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.

Healthand well-being in urban areas : the WHO Healthy Cities project

The increasing number of people in the city takes the countries and organizations to ask themselves about the direction of urban areas in the provision of quality life and sustainability.The WHO promotes the Healthy Cities project to encourage local planning actions to provide more health and sustainability for cities.Viana do Castelo follows this directivedeveloping a monitoring system that allows reflection o...

DDT in fishes and soils of lakes from brazilian Amazon: case study of puruzinho...

DDT concentrations had been quantified in fishes and at 20 points along the "Puruzinho" lake. The determination of pollutants in the samples consisted in four consecutive steps: extraction, clean-up, fractionation and automatic injection in high resolution gas chromatography coupled to an electron capture detector. The ΣDDT results in fishes (ng g-1 dry weight) ranged from 0.3 to 71.4. The concentrations o...

Cadeia do biodiesel da bancada à indústria: uma visão geral com prospecção de t...

Contextualized overview of the Biodiesel Production Chain, from the lab bench to the industry, with critical evaluation of state-of-art and technological development through scientific articles and patents, focusing on feedstock, reaction/production, first and second generation processes, specification and quality, transport, storage, co-products (effluents and sub-products), and emissions. Challenges are ident...

A mu-differentiable Lagrange multiplier rule

We present some properties of the gradient of a mu-differentiable function. The Method of Lagrange Multipliers for mu-differentiable functions is then exemplified.