Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Book Part Citation - WoS: 1Citation - Scopus: 1Cantor-Type Spherical-Coordinate Method for Differential Equations Within Local Fractional Derivatives(de Gruyter Open Ltd, 2015) Rahmat, Mohamad Rah Segi; Baleanu, Dumitru; Yang, Xiao-Jun; Segi Rahmat, Mohamad RafiIn this article, we utilize the Cantor-type spherical coordinate method to investigate a family of local fractional differential operators on Cantor sets. Some examples are discussed to show the capability of this method for the damped wave, Helmholtz and heat conduction equations defined on Cantor sets. We show that it is a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type spherical-coordinate systems.Book Part Numerical Solutions for Odes With Local Fractional Derivative(de Gruyter Open Ltd, 2015) Baleanu, Dumitru; Tenreiro Machado, J. A.; Yang, Xiao-Jun; Machado, J. A. TenreiroIn this chapter an efficient numerical algorithm for solving ODEs using the extended differential transform method via the generalized local fractional Taylor theorem is presented. Four examples are studied in order to illustrate the proposed technique.