Local Fractional Integral Transforms and Their Applications

The book explains the basics of the local fractional derivative operators and investigates new results in the area of local integral transforms, describing the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors.

Xiao-Jun Yang (Author), Dumitru Baleanu (Author), Hari M Srivastava (Author)

9780128040027

Hardback, published 1 October 2015

262 pages
22.9 x 15.1 x 2.2 cm, 0.4 kg

"...a boon to all those who are interested in the eld of local fractional integral transforms and want to further develop this live and useful branch of mathematics." --Zentralblatt MATH

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.

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

Subject Areas: Real analysis, real variables [PBKB]