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Local Fractional Integral Transforms and Their Applications
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Integral Transforms for Engineers. Author(s): Larry C. PDF ISBN: | Print ISBN: Fourier Integrals and Fourier Transforms.
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In recent years, integral transforms have become essential working tools of every engineer and applied scientist. The Laplace transform, which undoubtedly is the most familiar example, is basic to the solution of initial value problems. The Fourier transform, while being suited to solving boundary-value problems, is basic to the frequency spectrum analysis of time-varying waveforms. The purpose of this text is to introduce the use of integral transforms in obtaining solutions to problems governed by ordinary and partial differential equations and certain types of integral equations. Some other applications are also covered where appropriate. The Laplace and Fourier transforms are by far the most widely used of all integral transforms.
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. Scientists and engineers in the fields of mathematics, physics, chemistry and engineering, senior undergraduate and graduate students. We are always looking for ways to improve customer experience on Elsevier.