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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
Physics Letters, Section A: General, Atomic and Solid State Physics, Volume 377, No. 28-30, Year 2013
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Description
In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems. © 2013 Elsevier B.V. All rights reserved.
Authors & Co-Authors
Yang, Xiaojun
China, Xuzhou
China University of Mining and Technology
China, Qujing
Qujing Normal University
Srivastava, Hari M.
Canada, Victoria
University of Victoria
He, Jihuan
China, Suzhou
Soochow University
Bǎleanu, Dumitru I. I.
Turkey, Ankara
Çankaya Üniversitesi
Saudi Arabia, Jeddah
King Abdulaziz University
Romania, Bucharest
Institute for Space Sciences, Bucharest
Statistics
Citations: 158
Authors: 4
Affiliations: 7
Identifiers
Doi:
10.1016/j.physleta.2013.04.012
ISSN:
03759601