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Mathematics 2015, 3(2), 444-480; doi:10.3390/math3020444

Sinc-Approximations of Fractional Operators: A Computing Approach

Mathematics Department, German University in Cairo, New Cairo City, 11835, Egypt
Mathematical Physics, University of Ulm, Ulm, D-89069, Germany
Mathematics, University of Utah, Salt Lake City, UT, 84112, USA
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 1 April 2015 / Accepted: 20 May 2015 / Published: 5 June 2015
(This article belongs to the Special Issue Recent Advances in Fractional Calculus and Its Applications)


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. View Full-Text
Keywords: fractional calculus; Sinc methods; approximation; computation; integral equations; Hammerstein equation fractional calculus; Sinc methods; approximation; computation; integral equations; Hammerstein equation

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Baumann, G.; Stenger, F. Sinc-Approximations of Fractional Operators: A Computing Approach. Mathematics 2015, 3, 444-480.

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