IJPAM: Volume 105, No. 3 (2015)

ANALYTICAL SOLUTIONS FOR VOLTERRA
AND ABEL INTEGRAL EQUATIONS USING
A GENERALIZED POWER SERIES METHOD

Galiaskarova Guzeliya$^1$, Agafonova Alena$^2$
$^{1,2}$Bashkir State University Sterlitamak Branch
453103, Lenina Street 47A
Sterlitamak, RUSSIA


Abstract. Even though they have a rather specialized structure, Volterra and Abel integral equations form an important class of integral equations in applications. This happens because completely independent problems lead to the solution of such equations. In this paper we consider the nonlinear Volterra integral equation of second kind and Abel integral equations of first kind. Authors have been proposed a new method for constructing solutions of Abel integral equations by a generalized power series.

Received: November 4, 2015

AMS Subject Classification: 45D05

Key Words and Phrases: generalized Abel integral equations, integral equation, power series

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DOI: 10.12732/ijpam.v105i3.19 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 3
Pages: 537 - 542


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