New methods and problems in fractional calculus - Milici, Constantin;Draganescu, Gheorghe
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The aim of this book is to present a series of problems not yet investigated in the field of fractional differential equations. There are presented also a series of examples in the field of symbolic computation, written in Maple and Mathematica. It is introduced a new definition of the fractional derivative, in terms of translation operator. We introduced a new method, based on decomposition method and Laplace transform is presented in our previous LAP book. We studied also the fractional differential equations with the aid small parameter method. We used also the power series method. In the…mehr

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Produktbeschreibung
The aim of this book is to present a series of problems not yet investigated in the field of fractional differential equations. There are presented also a series of examples in the field of symbolic computation, written in Maple and Mathematica. It is introduced a new definition of the fractional derivative, in terms of translation operator. We introduced a new method, based on decomposition method and Laplace transform is presented in our previous LAP book. We studied also the fractional differential equations with the aid small parameter method. We used also the power series method. In the Chapter 5 it was established some predictor - corrector methods for fractional differential equations, of type Adams - Moulton, Adams-Bashforth, and Adams - Bashforth - Moulton. We investigated also the fractional integral equations. It was generalized the Galerkin and Ritz methods to the case of fractional differential equations. This book is addressed to a large category of readers, workingin the field of fundamental and applied mathematics, theoretical physics, and experimental methods in physics and engineering.
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Autorenporträt
Constantin Milici was a researcher at the Mathematics Institute of the Romanian Academy of sciences, and lecturer at the Department of Mathematics, Polytechnical University of Timisoara, between 1975 and 2009. Research in the mathematical logic, functional equations, computer assisted mathematics, fractional calculus and applications.