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
PDF [705 KB, uploaded 5 June 2015]
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.
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MDPI and ACS Style
Baumann, G.; Stenger, F. Sinc-Approximations of Fractional Operators: A Computing Approach. Mathematics 2015, 3, 444-480.
Baumann G, Stenger F. Sinc-Approximations of Fractional Operators: A Computing Approach. Mathematics. 2015; 3(2):444-480.
Baumann, Gerd; Stenger, Frank. 2015. "Sinc-Approximations of Fractional Operators: A Computing Approach." Mathematics 3, no. 2: 444-480.
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