Local Fractional Integral Transforms and Their Applications
- 262 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Local Fractional Integral Transforms and Their Applications
About this book
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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Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- List of figures
- List of tables
- Preface
- 1: Introduction to local fractional derivative and integral operators
- 2: Local fractional Fourier series
- 3: Local fractional Fourier transform and applications
- 4: Local fractional Laplace transform and applications
- 5: Coupling the local fractional Laplace transform with analytic methods
- Appendix A: The analogues of trigonometric functions defined on Cantor sets
- Appendix B: Local fractional derivatives of elementary functions
- Appendix C: Local fractional Maclaurin’s series of elementary functions
- Appendix D: Coordinate systems of Cantor-type cylindrical and Cantor-type spherical coordinates
- Appendix E: Tables of local fractional Fourier transform operators
- Appendix F: Tables of local fractional Laplace transform operators
- Bibliography
- Index