Local Fractional Integral Transforms and their Applications

✍ Scribed by Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-Jun

Publisher: Academic Press
Year: 2015
Tongue: English
Leaves: 249
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Table of Contents

Content:
Front Matter,Copyright,List of figures,List of tables,PrefaceEntitled to full text1 - Introduction to local fractional derivative and integral operators, Pages 1-55
2 - Local fractional Fourier series, Pages 57-94
3 - Local fractional Fourier transform and applications, Pages 95-145
4 - Local fractional Laplace transform and applications, Pages 147-178
5 - Coupling the local fractional Laplace transform with analytic methods, Pages 179-196
Appendix A - The analogues of trigonometric functions defined on Cantor sets☆, Pages 197-206
Appendix B - Local fractional derivatives of elementary functions, Pages 207-209
Appendix C - Local fractional Maclaurin’s series of elementary functions, Pages 211-212
Appendix D - Coordinate systems of Cantor-type cylindrical and Cantor-type spherical coordinates, Pages 213-221
Appendix E - Tables of local fractional Fourier transform operators, Page 223
Appendix F - Tables of local fractional Laplace transform operators, Pages 225-231
Bibliography, Pages 233-239
Index, Pages 241-249

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