Sinc-Approximations of Fractional Operators: A Computing Approach

Gerd Baumann and Frank Stenger
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Gerd Baumann: Mathematics Department, German University in Cairo, New Cairo City, 11835, Egypt
Frank Stenger: Mathematics, University of Utah, Salt Lake City, UT, 84112, USA

Mathematics, 2015, vol. 3, issue 2, 1-37

Abstract: We discuss a new approach to represent fractional operators by Sinc approximation using convolution integrals. A spin off of the convolution representation is an effective inverse Laplace transform. Several examples demonstrate the application of the method to different practical problems.

Keywords: fractional calculus; Sinc methods; approximation; computation; integral equations; Hammerstein equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
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