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Solution of Differential Equation using Fractional Hartley Transform

Published on October 2012 by P. K. Sontakke, A. S. Gudadhe
journal_cover_thumbnail

International Conference on Benchmarks in Engineering Science and Technology 2012
Foundation of Computer Science USA
ICBEST - Number 4
October 2012
Authors: P. K. Sontakke, A. S. Gudadhe
095aee53-5976-441a-aad9-8e7aa0bb7c6d

P. K. Sontakke, A. S. Gudadhe . Solution of Differential Equation using Fractional Hartley Transform. International Conference on Benchmarks in Engineering Science and Technology 2012. ICBEST, 4 (October 2012), 38-40.

@article{
author = { P. K. Sontakke, A. S. Gudadhe },
title = { Solution of Differential Equation using Fractional Hartley Transform },
journal = { International Conference on Benchmarks in Engineering Science and Technology 2012 },
issue_date = { October 2012 },
volume = { ICBEST },
number = { 4 },
month = { October },
year = { 2012 },
issn = 0975-8887,
pages = { 38-40 },
numpages = 3,
url = { /proceedings/icbest/number4/9010-1043/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Benchmarks in Engineering Science and Technology 2012
%A P. K. Sontakke
%A A. S. Gudadhe
%T Solution of Differential Equation using Fractional Hartley Transform
%J International Conference on Benchmarks in Engineering Science and Technology 2012
%@ 0975-8887
%V ICBEST
%N 4
%P 38-40
%D 2012
%I International Journal of Computer Applications
Abstract

This paper is concerned with the definition of generalized fractional Hartley transform. Fractional Hartley transform is extended to the distribution of compact support by using the kernel method and Fractional Hartley transform is used to solve some differential equations.

References
  1. Bhosale B. N. and Chaudhary M. S., “Fractional Fourier transform of Distribution of compact support” Bull. Cal. Math Soc., 94 (5), P 349-358, 2002.
  2. Namias, V., “The fractional order Fourier transform and its application to quantum mechanics”, J. Inst. Math Appl, Vol 25, P. 241-265, 1980.
  3. Ozaktas H. M., Zulevsky Z. and Kutay M. A., “The Fractional Fourier Transform With Applications In Optics and Signal Process”, John Wiley and Sons Chichester, 2001
  4. Pei Soo-Chang, Chien-ChengTseng, Min-Hung Yeh, Ding Jiam-Jium, “A New Definition of continuous fractional Hartley Transform”, IEEE, P.1485-1488, 1998.
  5. Pei Soo-Chanrg, Ding Jiam-Jium, “Fractional, cosine since and Hartley transform”, IEEE, Vol. 50, No. 7, July 2002.
  6. Sontakke P. K., Gudadhe A. S.: “ Generalized fractional Hartley transform” Vidarbha Journal of science, Vol. II, No.1, 2007.
  7. Sontakke P. K., Gudadhe A. S, “Analyticity And Operation Transform On Generalized Fractional Hartley Transform”, Int. Journal of Math. Analysis, Hikari Ltd.Bulgaria Vol. 2, No. 20, P.977-986, 2008.
  8. Zayed A. I.: “Hand book of generalized function and functional Analysis”. Publishers CRC press 1996
Index Terms

Computer Science
Information Sciences

Keywords

Fractional Fourier transforms Fractional Hartley transform Differential equation