Open AccessAbout Solution of the Nonlinear Generalized Abel Integral Equation
Author(s) -
Burkhan Kalimbetov
Publication year - 2019
Publication title -
asian journal of fuzzy and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2321-564X
DOI - 10.24203/ajfam.v7i1.5620
Subject(s) - integral equation , nonlinear system , maple , mathematics , planar , mathematical analysis , function (biology) , elementary function , symbolic computation , calculus (dental) , physics , computer science , quantum mechanics , medicine , botany , computer graphics (images) , dentistry , evolutionary biology , biology
As is known, many problems of electronics, nuclear physics, optics and astrophysics, etc. are described by the Abel integral equation of the first kind. In this paper we consider the nonlinear generalized Abel equation and show that its solution can be represented as an integral of a power function. It is shown that the constructed analytical solution and the symbolic solution obtained by means of the computer mathematics system Maple coincides, and their planar and spatial graphs are presented.