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Fractional Calculus: Models And Numerical Methods (Hardcover, Second Edition)
Loot Price: R4,608
Discovery Miles 46 080
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Fractional Calculus: Models And Numerical Methods (Hardcover, Second Edition)
Series: Series on Complexity, Nonlinearity, and Chaos, 5
Expected to ship within 10 - 15 working days
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Total price: R4,628
Discovery Miles: 46 280
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This book will give readers the possibility of finding very
important mathematical tools for working with fractional models and
solving fractional differential equations, such as a generalization
of Stirling numbers in the framework of fractional calculus and a
set of efficient numerical methods. Moreover, we will introduce
some applied topics, in particular fractional variational methods
which are used in physics, engineering or economics. We will also
discuss the relationship between semi-Markov continuous-time random
walks and the space-time fractional diffusion equation, which
generalizes the usual theory relating random walks to the diffusion
equation. These methods can be applied in finance, to model
tick-by-tick (log)-price fluctuations, in insurance theory, to
study ruin, as well as in macroeconomics as prototypical growth
models.All these topics are complementary to what is dealt with in
existing books on fractional calculus and its applications. This
book will keep in mind the trade-off between full mathematical
rigor and the needs of readers coming from different applied areas
of science and engineering. In particular, the numerical methods
listed in the book are presented in a readily accessible way that
immediately allows the readers to implement them on a computer in a
programming language of their choice.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 fractional calculus for modeling
processes in the life sciences.
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