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

Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method

No Thumbnail Available

Date

2014

Journal Title

Journal ISSN

Volume Title

Publisher

Editura Academiei Romane

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

Abel equation has important applications in describing the least time for an object which is sliding on surface without friction in uniform gravity, and the classical theory of elasticity of materials is modeled by a system of Abel integral equations. In this manuscript, the homotopy analysis method is presented for obtaining analytical solutions of a system of Abel integral equations as fractional equations. The applied method has lessened the size of calculation and improved the accuracy of solution in the case of the singular Abel integral equation. The illustrated examples and numerical results have proved the assertion.

Description

Keywords

H-Curve, Fractional Calculus, System of Abel Integral Equations, Homotopy Analysis Method

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Jafarian, A...et al. (2014). "Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method",Romanian Reports in Physics, Vol. 66, No. 3, pp. 603-611.

WoS Q

Scopus Q

Source

Romanian Reports in Physics

Volume

66

Issue

3

Start Page

603

End Page

611