| 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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