Local Fractional Integral Transforms and Their Applications
Published on 15. October 2015
260 pages
978-0-12-804032-4 (ISBN)
Description
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
More details
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science & Technology (Digital)
Target group
Professional and scholarly
ISBN-13
978-0-12-804032-4 (9780128040324)
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Schweitzer Classification
Other editions
Additional editions
Xiao-jun Yang | Dumitru Baleanu | Hari M. Srivastava
Local Fractional Integral Transforms and Their Applications
Book
10/2015
Academic Press
€85.00
Shipment within 15-20 days
Persons
Dr. Xiao-Jun Yang is a full professor of China University of Mining and Technology, China. He was awarded the 2019 Obada-Prize, the Young Scientist Prize (Turkey), and Springer's Distinguished Researcher Award. His scientific interests include: Viscoelasticity, Mathematical Physics, Fractional Calculus and Applications, Fractals, Analytic Number Theory, and Special Functions. He has published over 160 journal articles and 4 monographs, 1 edited volume, and 10 chapters. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Methods in the Applied Sciences, Mathematical Modelling and Analysis, Journal of Thermal Stresses, and Thermal Science, and an associate editor of Journal of Thermal Analysis and Calorimetry, Alexandria Engineering Journal, and IEEE Access.Dumitru Baleanu is a professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and a visiting staff member at the Department of Mathematics, Çankaya, University, Ankara, Turkey. He received his Ph.D. from the Institute of Atomic Physics in 1996. His fields of interest include Fractional Dynamics and its applications, Fractional Differential Equations and their applications, Discrete Mathematics, Image Processing, Bioinformatics, Mathematical Biology, Mathematical Physics, Soliton Theory, Lie Symmetry, Dynamic Systems on time scales, Computational Complexity, the Wavelet Method and its applications, Quantization of systems with constraints, the Hamilton-Jacobi Formalism, as well as geometries admitting generic and non-generic symmetries.
Content
1. Introduction to Local Fractional Derivative and Local Fractional Integral Operators2. Local Fractional Fourier Series 3. Local Fractional Fourier Transform and Its Applications 4. Local Fractional Laplace Transform and Its Applications5. Local Fractional Laplace Transform Method Coupled with Analytical Methods
