AN ALGORITHM TO FIND A SOLUTION OF A QUADRATIC FRACTIONAL INTEGRALEQUATION WITH LINEAR MODIFICATION IN THE ARGUMENT
G. W. SHRIMANGALE *
Mrs. Kesharbai Sonajirao Kshirsagar Alias Kaku Art's Science and Commerce College, Beed-431122, Beed, Maharashtra, India
T. L. HOLAMBE
Late S. G. College, Dharmapuri, Beed, Maharashtra, India
*Author to whom correspondence should be addressed.
In this paper we give sufficient condition for the existence solution of a non-linear quadratic fractional integral equation with linear modification in the argument. An algorithm for finding approximate solutions is developed. It is shown that the sequence of successive approximations converges monotonically to the positive solution of the related quadratic fractional integral equation under some suitable conditions.
Keywords: Quadratic fractional integral equations, approximate positive solution, argument etc