Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method
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Date
2014
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Publisher
Editura Acad Romane
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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
Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163
Keywords
System Of Abel Integral Equations, Homotopy Analysis Method, H-Curve, Fractional Calculus
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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
Q2
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Q2
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Volume
66
Issue
3
Start Page
603
End Page
611