Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives

No Thumbnail Available

Date

2015

Authors

Rahmat, Mohamad Rah Segi
Baleanu, Dumitru
Yang, Xiao-Jun

Journal Title

Journal ISSN

Volume Title

Publisher

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

In 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.

Description

Keywords

Fractional Dynamics, Nonlinear Dynamics, Fractional Calculus, Nonlinear Analysis

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Rahmat, Mohamad Rah Segi; Baleanu, Dumitru; Yang, Xiao-Jun (2015). "Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives", Fractional Dynamics, pp. 231-242.

WoS Q

Scopus Q

Source

Fractional Dynamics

Volume

Issue

Start Page

231

End Page

242