Xiao-Jun Yang's Books

An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

By: Xiao-Jun Yang

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An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

By: Xiao-Jun Yang

An Introduction to Hypergeometric, Supertigonometric, and Superhyperbolic Functions gives a basic introduction to the newly established hypergeometric, supertrigonometric, and superhyperbolic functions from the special functions viewpoint. The special functions, such as the Euler Gamma function, the Euler Beta function, the Clausen hypergeometric series, and the Gauss hypergeometric have been successfully applied to describe the real-world phenomena that involve complex behaviors arising in mathematics, physics, chemistry, and engineering. - Provides a historical overview for a family of the special polynomials - Presents a logical investigation of a family of the hypergeometric series - Proposes a new family of the hypergeometric supertrigonometric functions - Presents a new family of the hypergeometric superhyperbolic functions

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Page Count

504

Publisher

Academic Press

Published Date

ISBN 10

0323852823

ISBN 13

9780323852821

General Fractional Derivatives

Theory, Methods and Applications

By: Xiao-Jun Yang

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General Fractional Derivatives

Theory, Methods and Applications

By: Xiao-Jun Yang

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.

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Page Count

391

Publisher

CRC Press

Published Date

ISBN 10

0429811527

ISBN 13

9780429811524

General Fractional Derivatives with Applications in Viscoelasticity

By: Xiao-Jun Yang,Feng Gao,Yang Ju

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General Fractional Derivatives with Applications in Viscoelasticity

By: Xiao-Jun Yang,Feng Gao,Yang Ju

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials. General Fractional Derivatives with Applications in Viscoelasticity makes a concise presentation of general fractional calculus. - Presents a comprehensive overview of the fractional derivatives and their applications in viscoelasticity - Provides help in handling the power-law functions - Introduces and explores the questions about general fractional derivatives and its applications

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Page Count

456

Publisher

Academic Press

Published Date

ISBN 10

0128172096

ISBN 13

9780128172094

Local Fractional Integral Transforms and Their Applications

By: Xiao-Jun Yang,Dumitru Baleanu,Hari M Srivastava

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Local Fractional Integral Transforms and Their Applications

By: Xiao-Jun Yang,Dumitru Baleanu,Hari M Srivastava

Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. - Provides applications of local fractional Fourier Series - Discusses definitions for local fractional Laplace transforms - Explains local fractional Laplace transforms coupled with analytical methods

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Page Count

263

Publisher

Academic Press

Published Date

ISBN 10

0128040327

ISBN 13

9780128040324

Book's by Xiao-Jun Yang

An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

General Fractional Derivatives

General Fractional Derivatives

General Fractional Derivatives with Applications in Viscoelasticity

General Fractional Derivatives with Applications in Viscoelasticity

Local Fractional Integral Transforms and Their Applications

Local Fractional Integral Transforms and Their Applications

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