Sinc-Approximations of Fractional Operators: A Computing Approach

Mathematics

Gerd Baumann¹  Frank Stenger² 

[1] Mathematics Department, German University in Cairo, New Cairo City, 11835, Egypt;Mathematics, University of Utah, Salt Lake City, UT, 84112, USA; E-Mail:

关键词: fractional calculus;    Sinc methods;    approximation;    computation;    integral equations;    Hammerstein equation;   

DOI  :  10.3390/math3020444

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland