NUMERICAL METHODS FOR FRACTIONAL DIFFERENTIATION
by OWOLABI, KOLADE MATTHEW. ATANGANA, ABDON
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, k…
Read More ↓Title Statements
- Full title :NUMERICAL METHODS FOR FRACTIONAL DIFFERENTIATION.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2019.
Publication Statements
- Publisher(s):Springer Verlag, Singapor
- Place of Publication:S.l
- Language:eng
- Publication Date:2019.
The Physical Object
- Description:xvi, 328 pages : : illustrations (colour) ; : 25 cm.
Edition Identifiers
- ISBN:9811500975, 9789811500978
- DOI:10.1007/9789811500985
- oclc:on1111771864
- LC Classification:QA314 .O96 2019
- Dewey Decimal:518.6
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