Jun Yang / Baleanu / Srivastava Local Fractional Integral Transforms and Their Applications

1. Auflage 2015
ISBN: 978-0-12-804032-4
Verlag: Academic Press
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 262 Seiten, Format (B × H): 152 mm x 229 mm

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

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.

Autoren/Hrsg.

Jun Yang, Xiao

Baleanu, Dumitru

Srivastava, H. M.

Srivastava, Hari M

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen

Inhaltsverzeichnis

Chapter 1. Introduction to Local Fractional Derivative and Local Fractional Integral Operators
1.1. Definitions and Properties of Local Fractional Derivative
1.2 Definitions and Properties of Local Fractional Integral
1.3 Local Fractional Partial Differential Equations in Mathematical Physics
References
Chapter 2. Local Fractional Fourier Series
2.1. Definitions and Properties
2.2. Applications to Signal Analysis
2.3 Solving Local Fractional Differential Equations
2.3.1. Applications of Local Fractional Ordinary Differential Equations
2.3.2. Applications of Local Fractional Partial Differential Equations
References
Chapter 3. Local Fractional Fourier Transform and Its Applications
3.1. Definitions and Properties
3.2. Applications to Signal Analysis
3.3 Solving Local Fractional Differential Equations
3.3.1. Applications of Local Fractional Ordinary Differential Equations
3.3.2. Applications of Local Fractional Partial Differential Equations
References
Chapter 4. Local Fractional Laplace Transform and Its Applications
4.1. Definitions and Properties
4.2. Applications to Signal Analysis
4.3 Solving Local Fractional Differential Equations
4.3.1. Applications of Local Fractional Ordinary Differential Equations
4.3.2 Applications of Local Fractional Partial Differential Equations
References
Chapter 5. Local Fractional Laplace Transform Method Coupled with Analytical Methods
5.1. Variational Iteration Method of Local Fractional Operator
5.2. Decomposition Method of Local Fractional Operator
5.3. Coupling Laplace Transform with Variational Iteration Method of Local Fractional Operator
5.4. Coupling Laplace Transform with Decomposition Method of Local Fractional Operator
References