Authors: Yang, Xiao Jun
Baleanu, Dumitru
Lazarević, Mihailo
Cajić, Milan 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Fractal boundary value problems for integral and differential equations with local fractional operators
Journal: Thermal Science
Volume: 19
Issue: 3
First page: 959
Last page: 966
Issue Date: 1-Jan-2015
Rank: M23
ISSN: 0354-9836
DOI: 10.2298/TSCI130717103Y
Abstract: 
In the present paper we investigate the fractal boundary value problems for the Fredholm and Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results.
Keywords: Boundary value problems | Heat conduction equations | Integral equations | Local fractional decomposition method | Wave equations
Publisher: Serbian Society of Heat Transfer Engineers
Project: Dynamics of hybrid systems with complex structures. Mechanics of materials. 
Development of methods and techniques for early diagnostic of cervical, colon, oral cavity cancer and melanoma based on a digital image and excitation-emission spectrum in visible and infrared domain 
Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design 

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