کتاب دانلود کتب لاتین علوم مهندسیریاضی
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Numerical Methods for Fractional Differentiation
سال انتشار: 2019
تعداد صفحات: 338
زبان فایل: English
فرمت فایل: pdf
حجم فایل: 14MB

دانلود رایگان

Publisher : Springer

ISBN-10 : 9811500991, 9811500975

ISBN-13 : 978-9811500992, 978-9811500978

ASIN : B07Z4QN3S5

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.