General Fractional Derivatives

General Fractional Derivatives
Author :
Publisher : CRC Press
Total Pages : 383
Release :
ISBN-10 : 9780429811531
ISBN-13 : 0429811535
Rating : 4/5 (535 Downloads)

Book Synopsis General Fractional Derivatives by : Xiao-Jun Yang

Download or read book General Fractional Derivatives written by Xiao-Jun Yang and published by CRC Press. This book was released on 2019-05-10 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex herbivores to figure out the modern developments in theoretical and applied science. Features: Give some new results for fractional calculus of constant and variable orders. Discuss some new definitions for fractional calculus with respect to another function. Provide definitions for general fractional calculus of constant and variable orders. Report new results of general fractional calculus with respect to another function. Propose news special functions with respect to another function and their applications. Present new models for the anomalous relaxation and rheological behaviors. This book serves as a reference book and textbook for scientists and engineers in the fields of mathematics, physics, chemistry and engineering, senior undergraduate and graduate students. Dr. Xiao-Jun Yang is a full professor of Applied Mathematics and Mechanics, at China University of Mining and Technology, China. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Modelling and Analysis, International Journal of Numerical Methods for Heat & Fluid Flow, and Thermal Science.


General Fractional Derivatives Related Books

General Fractional Derivatives
Language: en
Pages: 383
Authors: Xiao-Jun Yang
Categories: Mathematics
Type: BOOK - Published: 2019-05-10 - Publisher: CRC Press

DOWNLOAD EBOOK

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-d
General Fractional Derivatives with Applications in Viscoelasticity
Language: en
Pages: 456
Authors: Xiao-Jun Yang
Categories: Mathematics
Type: BOOK - Published: 2020-04-03 - Publisher: Academic Press

DOWNLOAD EBOOK

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and
Fractional Differential Equations
Language: en
Pages: 528
Authors: Anatoly Kochubei
Categories: Mathematics
Type: BOOK - Published: 2019-02-19 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This secon
Fractional Differential Equations
Language: en
Pages: 366
Authors: Igor Podlubny
Categories: Mathematics
Type: BOOK - Published: 1998-10-27 - Publisher: Elsevier

DOWNLOAD EBOOK

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the ga
Applications Of Fractional Calculus In Physics
Language: en
Pages: 473
Authors: Rudolf Hilfer
Categories: Science
Type: BOOK - Published: 2000-03-02 - Publisher: World Scientific

DOWNLOAD EBOOK

Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger