Share

Generalized Fractional Calculus and Applications

1993-12-27 Mathematics
Download Generalized Fractional Calculus and Applications PDF Online Free

Author :
Release : 1993-12-27
Genre : Mathematics
Kind : eBook
Book Rating : 779/5 ( reviews)

GET EBOOK


Book Synopsis Generalized Fractional Calculus and Applications by : Virginia S Kiryakova

Download or read book Generalized Fractional Calculus and Applications written by Virginia S Kiryakova. This book was released on 1993-12-27. Available in PDF, EPUB and Kindle. Book excerpt: In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.

Generalized Fractional Calculus

2021-11-27 Technology & Engineering
Download Generalized Fractional Calculus PDF Online Free

Author :
Release : 2021-11-27
Genre : Technology & Engineering
Kind : eBook
Book Rating : 648/5 ( reviews)

GET EBOOK


Book Synopsis Generalized Fractional Calculus by : George A. Anastassiou

Download or read book Generalized Fractional Calculus written by George A. Anastassiou. This book was released on 2021-11-27. Available in PDF, EPUB and Kindle. Book excerpt: This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact in numerical analysis, stochastics and fractional differential equations. The book continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities and also includes abstract cases. It presents also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The results are weighted so they provide a great variety of cases and applications. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus. The book considers both Caputo and Conformable fractional directions and derives regular and trigonometric results. The positive linear operators can be expectation operator commutative or not. This book results are expected to find applications in many areas of pure and applied mathematics and stochastics. As such this monograph is suitable for researchers, graduate students, and seminars of the above disciplines, also to be in all science and engineering libraries.

Generalized Fractional Calculus

2020-11-25 Technology & Engineering
Download Generalized Fractional Calculus PDF Online Free

Author :
Release : 2020-11-25
Genre : Technology & Engineering
Kind : eBook
Book Rating : 624/5 ( reviews)

GET EBOOK


Book Synopsis Generalized Fractional Calculus by : George A. Anastassiou

Download or read book Generalized Fractional Calculus written by George A. Anastassiou. This book was released on 2020-11-25. Available in PDF, EPUB and Kindle. Book excerpt: This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact in numerical analysis, stochastics and fractional differential equations. The book continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities and also includes abstract cases. It presents also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The results are weighted so they provide a great variety of cases and applications. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus. The book considers both Caputo and Conformable fractional directions and derives regular and trigonometric results. The positive linear operators can be expectation operator commutative or not. This book results are expected to find applications in many areas of pure and applied mathematics and stochastics. As such this monograph is suitable for researchers, graduate students, and seminars of the above disciplines, also to be in all science and engineering libraries.

General Fractional Derivatives

2019-05-10 Mathematics
Download General Fractional Derivatives PDF Online Free

Author :
Release : 2019-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 527/5 ( reviews)

GET EBOOK


Book Synopsis General Fractional Derivatives by : Xiao-Jun Yang

Download or read book General Fractional Derivatives written by Xiao-Jun Yang. This book was released on 2019-05-10. 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.

Basic Theory Of Fractional Differential Equations (Second Edition)

2016-10-20 Mathematics
Download Basic Theory Of Fractional Differential Equations (Second Edition) PDF Online Free

Author :
Release : 2016-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 187/5 ( reviews)

GET EBOOK


Book Synopsis Basic Theory Of Fractional Differential Equations (Second Edition) by : Yong Zhou

Download or read book Basic Theory Of Fractional Differential Equations (Second Edition) written by Yong Zhou. This book was released on 2016-10-20. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operators, critical point theory and semigroup theory. Based on the research work carried out by the authors and other experts during the past seven years, the contents are very recent and comprehensive.In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier-Stokes equations and fractional diffusion equations.

You may also like...