Next Article in Journal
Correction on Davidson, R.M.; Lauritzen, A.; Seneff, S. Biological Water Dynamics and Entropy: A Biophysical Origin of Cancer and Other Diseases. Entropy 2013, 15, 3822-3876
Next Article in Special Issue
Identification of Green, Oolong and Black Teas in China via Wavelet Packet Entropy and Fuzzy Support Vector Machine
Previous Article in Journal
Statistical Manifolds with almost Quaternionic Structures and Quaternionic Kähler-like Statistical Submersions
Previous Article in Special Issue
Active Control of a Chaotic Fractional Order Economic System
Article Menu

Export Article

Open AccessArticle
Entropy 2015, 17(9), 6229-6237; doi:10.3390/e17096229

On the Exact Solution of Wave Equations on Cantor Sets

1,2,†,* , 3,4,†, 5,6,†
Department of Mathematics Computer Science, Cankaya University, Ankara 06530, Turkey
Institute of Space Sciences, P. O. Box, MG-23, Magurele-Bucharest 76900, Romania
University of Malakand, Chakdara, Dir lower, P. O. Box, Khybar Pakhtunkhwa 18000, Pakistan
Shaheed Benazir Bhutto University, Sheringal, Dir Upper, P. O. Box, Khybar Pakhtunkhwa 18000, Pakistan
Department of Mathematical Sciences, University of South Africa, P. O. Box 392, UNISA 0003, South Africa
Department of Mathematical Sciences, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 28 June 2015 / Revised: 1 August 2015 / Accepted: 6 August 2015 / Published: 8 September 2015
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory)
View Full-Text   |   Download PDF [612 KB, uploaded 8 September 2015]   |  


The transfer of heat due to the emission of electromagnetic waves is called thermal radiations. In local fractional calculus, there are numerous contributions of scientists, like Mandelbrot, who described fractal geometry and its wide range of applications in many scientific fields. Christianto and Rahul gave the derivation of Proca equations on Cantor sets. Hao et al. investigated the Helmholtz and diffusion equations in Cantorian and Cantor-Type Cylindrical Coordinates. Carpinteri and Sapora studied diffusion problems in fractal media in Cantor sets. Zhang et al. studied local fractional wave equations under fixed entropy. In this paper, we are concerned with the exact solutions of wave equations by the help of local fractional Laplace variation iteration method (LFLVIM). We develop an iterative scheme for the exact solutions of local fractional wave equations (LFWEs). The efficiency of the scheme is examined by two illustrative examples. View Full-Text
Keywords: local fractional calculus; local fractional Laplace variation iteration method; local fractional wave equations local fractional calculus; local fractional Laplace variation iteration method; local fractional wave equations

Figure 1

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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Baleanu, D.; Khan, H.; Jafari, H.; Khan, R.A. On the Exact Solution of Wave Equations on Cantor Sets. Entropy 2015, 17, 6229-6237.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top