## The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science

### Carl F. Lorenzo; Tom T. Hartley

0 avg rating
( 0 ratings by Goodreads )

Addresses the rapidly growing ­field of fractional calculus and provides simpli­fied solutions for linear commensurate-order fractional differential equations

­The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is the result of the authors’ work in fractional calculus, and more particularly, in functions for the solutions of fractional di­fferential equations, which is fostered in the behavior of generalized exponential functions. The authors discuss how fractional trigonometry plays a role analogous to the classical trigonometry for the fractional calculus by providing solutions to linear fractional di­fferential equations. The book begins with an introductory chapter that o­ffers insight into the fundamentals of fractional calculus, and topical coverage is then organized in two main parts. Part One develops the definitions and theories of fractional exponentials and fractional trigonometry. Part Two provides insight into various areas of potential application within the sciences. The fractional exponential function via the fundamental fractional differential equation, the generalized exponential function, and R-function relationships are discussed in addition to the fractional hyperboletry, the R1-fractional trigonometry, the R2-fractional trigonometry, and the R3-trigonometric functions. ­The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science also:

• Presents fractional trigonometry as a tool for scientists and engineers and discusses how to apply fractional-order methods to the current toolbox of mathematical modelers
• Employs a mathematically clear presentation in an e­ ort to make the topic broadly accessible
•  Includes solutions to linear fractional di­fferential equations and generously features graphical forms of functions to help readers visualize the presented concepts
• Provides e­ffective and efficient methods to describe complex structures

­The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is an ideal reference for academic researchers, research engineers, research scientists, mathematicians, physicists, biologists, and chemists who need to apply new fractional calculus methods to a variety of disciplines. The book is also appropriate as a textbook for graduate- and PhD-level courses in fractional calculus.

Carl F. Lorenzo is Distinguished Research Associate at the NASA Glenn Research Center in Cleveland, Ohio. His past positions include chief engineer of the Instrumentation and Controls Division and chief of the Advanced Controls Technology and Systems Dynamics branches at NASA. He is internationally recognized for his work in the development and application of the fractional calculus and fractional trigonometry.

Tom T. Hartley, PhD, is Emeritus Professor in the Department of Electrical and Computer Engineering at The University of Akron. Dr Hartley is a recognized expert in fractional-order systems, and together with Carl Lorenzo, has solved fundamental problems in the area including Riemann’s complementary-function initialization function problem. He received his PhD in Electrical Engineering from Vanderbilt University.

"synopsis" may belong to another edition of this title.

Carl F. Lorenzo is Distinguished Research Associate at the NASA Glenn Research Center in Cleveland, Ohio. His past positions include chief engineer of the Instrumentation and Controls Division and chief of the Advanced Controls Technology and Systems Dynamics branches at NASA. He is internationally recognized for his work in the development and application of the fractional calculus and fractional trigonometry.

Tom T. Hartley, PhD, is Emeritus Professor in the Department of Electrical and Computer Engineering at The University of Akron. Dr Hartley is a recognized expert in fractional-order systems, and together with Carl Lorenzo, has solved fundamental problems in the area including Riemann’s complementary-function initialization function problem. He received his PhD in Electrical Engineering from Vanderbilt University.

List Price: US\$ 135.00
US\$ 96.85

Shipping: FREE
From India to U.S.A.

Destination, Rates & Speeds

## 1.Fractional Trigonometry With Applications to Fractional Differential Equations and Science

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Quantity Available: 1
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating

Book Description Book Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB77457

US\$ 96.85
Convert Currency
Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

## 2.Fractional Trigonometry: With Applications to Fractional Differential Equations and Science

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Quantity Available: 1
Seller:
Rem Distributors
(NORWALK, CT, U.S.A.)
Rating

Book Description Book Condition: New. Dust Jacket Condition: New. Shipped promptly and delivered within 3 to 5 working days. For PO BOX, APO, FPO and Puerto Rico addresses delivery done in 20 to 25 working days. Serving customers since 2006. Thousand of satisfied customers!. Bookseller Inventory # REG_9781119139409_Wiley_89.37

US\$ 102.99
Convert Currency
Shipping: US\$ 3.95
Within U.S.A.
Destination, Rates & Speeds

## 3.The Fractional Trigonometry: With Applications To Fractional Differential Equations And Science

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Quantity Available: > 20
Seller:
GreatBookPrices
(Columbia, MD, U.S.A.)
Rating

Book Description Book Condition: New. Bookseller Inventory # 26387864-n

US\$ 104.73
Convert Currency
Shipping: US\$ 2.64
Within U.S.A.
Destination, Rates & Speeds

## 4.Fractional Trigonometry: With Applications to Fractional Differential Equations and Science Format: Hardcover

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Quantity Available: > 20
Seller:
INDOO
(Avenel, NJ, U.S.A.)
Rating

Book Description John Wiley and Sons. Book Condition: New. Brand New. Bookseller Inventory # 1119139406

US\$ 106.27
Convert Currency
Shipping: US\$ 3.50
Within U.S.A.
Destination, Rates & Speeds

## 5.The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Quantity Available: 1
Seller:
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Rating

Book Description John Wiley and Sons Inc, 2016. HRD. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # KS-9781119139409

US\$ 110.72
Convert Currency
Shipping: US\$ 3.99
Within U.S.A.
Destination, Rates & Speeds

## 6.The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Quantity Available: 1
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating

Book Description John Wiley and Sons Inc, 2016. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # IB-9781119139409

US\$ 112.13
Convert Currency
Shipping: US\$ 3.99
Within U.S.A.
Destination, Rates & Speeds

## 7.The Fractional Trigonometry - With Applications to Fractional Differential Equations and Science (Hardback)

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Hardcover First Edition Quantity Available: 10
Seller:
The Book Depository US
(London, United Kingdom)
Rating

Book Description John Wiley Sons Inc, United States, 2016. Hardback. Book Condition: New. 1. Auflage. Language: English . Brand New Book. Addresses the rapidly growing -field of fractional calculus and provides simpli-fied solutions for linear commensurate-order fractional differential equations -The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is the result of the authors work in fractional calculus, and more particularly, in functions for the solutions of fractional di-fferential equations, which is fostered in the behavior of generalized exponential functions. The authors discuss how fractional trigonometry plays a role analogous to the classical trigonometry for the fractional calculus by providing solutions to linear fractional di-fferential equations. The book begins with an introductory chapter that o-ffers insight into the fundamentals of fractional calculus, and topical coverage is then organized in two main parts. Part One develops the definitions and theories of fractional exponentials and fractional trigonometry. Part Two provides insight into various areas of potential application within the sciences. The fractional exponential function via the fundamental fractional differential equation, the generalized exponential function, and R-function relationships are discussed in addition to the fractional hyperboletry, the R1-fractional trigonometry, the R2-fractional trigonometry, and the R3-trigonometric functions. -The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science also: * Presents fractional trigonometry as a tool for scientists and engineers and discusses how to apply fractional-order methods to the current toolbox of mathematical modelers * Employs a mathematically clear presentation in an e- ort to make the topic broadly accessible * Includes solutions to linear fractional di-fferential equations and generously features graphical forms of functions to help readers visualize the presented concepts * Provides e-ffective and efficient methods to describe complex structures -The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is an ideal reference for academic researchers, research engineers, research scientists, mathematicians, physicists, biologists, and chemists who need to apply new fractional calculus methods to a variety of disciplines. The book is also appropriate as a textbook for graduate- and PhD-level courses in fractional calculus. Carl F. Lorenzo is Distinguished Research Associate at the NASA Glenn Research Center in Cleveland, Ohio. His past positions include chief engineer of the Instrumentation and Controls Division and chief of the Advanced Controls Technology and Systems Dynamics branches at NASA. He is internationally recognized for his work in the development and application of the fractional calculus and fractional trigonometry. Tom T. Hartley, PhD, is Emeritus Professor in the Department of Electrical and Computer Engineering at The University of Akron. Dr Hartley is a recognized expert in fractional-order systems, and together with Carl Lorenzo, has solved fundamental problems in the area including Riemann s complementary-function initialization function problem. He received his PhD in Electrical Engineering from Vanderbilt University. Bookseller Inventory # AAH9781119139409

US\$ 119.66
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 8.The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science (Hardback)

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Hardcover First Edition Quantity Available: 10
Seller:
The Book Depository
(London, United Kingdom)
Rating

Book Description John Wiley Sons Inc, United States, 2016. Hardback. Book Condition: New. 1. Auflage. Language: English . Brand New Book. Addresses the rapidly growing -field of fractional calculus and provides simpli-fied solutions for linear commensurate-order fractional differential equations -The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is the result of the authors work in fractional calculus, and more particularly, in functions for the solutions of fractional di-fferential equations, which is fostered in the behavior of generalized exponential functions. The authors discuss how fractional trigonometry plays a role analogous to the classical trigonometry for the fractional calculus by providing solutions to linear fractional di-fferential equations. The book begins with an introductory chapter that o-ffers insight into the fundamentals of fractional calculus, and topical coverage is then organized in two main parts. Part One develops the definitions and theories of fractional exponentials and fractional trigonometry. Part Two provides insight into various areas of potential application within the sciences. The fractional exponential function via the fundamental fractional differential equation, the generalized exponential function, and R-function relationships are discussed in addition to the fractional hyperboletry, the R1-fractional trigonometry, the R2-fractional trigonometry, and the R3-trigonometric functions. -The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science also: * Presents fractional trigonometry as a tool for scientists and engineers and discusses how to apply fractional-order methods to the current toolbox of mathematical modelers * Employs a mathematically clear presentation in an e- ort to make the topic broadly accessible * Includes solutions to linear fractional di-fferential equations and generously features graphical forms of functions to help readers visualize the presented concepts * Provides e-ffective and efficient methods to describe complex structures -The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is an ideal reference for academic researchers, research engineers, research scientists, mathematicians, physicists, biologists, and chemists who need to apply new fractional calculus methods to a variety of disciplines. The book is also appropriate as a textbook for graduate- and PhD-level courses in fractional calculus. Carl F. Lorenzo is Distinguished Research Associate at the NASA Glenn Research Center in Cleveland, Ohio. His past positions include chief engineer of the Instrumentation and Controls Division and chief of the Advanced Controls Technology and Systems Dynamics branches at NASA. He is internationally recognized for his work in the development and application of the fractional calculus and fractional trigonometry. Tom T. Hartley, PhD, is Emeritus Professor in the Department of Electrical and Computer Engineering at The University of Akron. Dr Hartley is a recognized expert in fractional-order systems, and together with Carl Lorenzo, has solved fundamental problems in the area including Riemann s complementary-function initialization function problem. He received his PhD in Electrical Engineering from Vanderbilt University. Bookseller Inventory # AAH9781119139409

US\$ 120.01
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 9.Fractional Trigonometry: With Applications to Fractional Dif

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Quantity Available: 15
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating

Book Description Wileyand#8211;Blackwell, 2016. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # FW-9781119139409

US\$ 110.10
Convert Currency
Shipping: US\$ 11.96
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 10.The Fractional Trigonometry

ISBN 10: 1119139406 ISBN 13: 9781119139409
New Hardcover Quantity Available: 5
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating

Book Description Wiley 2016-12-30, Hoboken, New Jersey, 2016. hardback. Book Condition: New. Bookseller Inventory # 9781119139409