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Numerical Methods for Fractional Differentiation (Hardcover, 1st ed. 2019)
Loot Price: R2,747
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Numerical Methods for Fractional Differentiation (Hardcover, 1st ed. 2019)
Series: Springer Series in Computational Mathematics, 54
Expected to ship within 12 - 17 working days
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This book discusses numerical methods for solving partial
differential and integral equations, as well as ordinary
differential and integral equations, involving fractional
differential and integral operators. Differential and integral
operators presented in the book include those with exponential
decay law, known as Caputo-Fabrizio differential and integral
operators, those with power law, known as Riemann-Liouville
fractional operators, and those for the generalized Mittag-Leffler
function, known as the Atangana-Baleanu fractional operators. The
book reviews existing numerical schemes associated with fractional
operators including those with power law, while also highlighting
new trends in numerical schemes for recently introduced
differential and integral operators. In addition, the initial
chapters address useful properties of each differential and
integral fractional operator. Methods discussed in the book are
subsequently used to solved problems arising in many fields of
science, technology, and engineering, including epidemiology,
chaos, solitons, fractals, diffusion, groundwater, and fluid
mechanics. Given its scope, the book offers a valuable resource for
graduate students of mathematics and engineering, and researchers
in virtually all fields of science, technology, and engineering, as
well as an excellent addition to libraries.
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