[00398] Approximation of Abel type nonlinear fractional integral equations by the use of orthogonal polynomials
Session Time & Room : 3C (Aug.23, 13:20-15:00) @G601
Type : Contributed Talk
Abstract : The nonlinear fractional integral equations of the type Abel are presented in this study with general framework for determining the approximate solution. As basis functions, this method makes use of Lagrangian interpolating polynomials (LIPs) and shifting Legendre polynomials (SLPs). The original problem is converted into a system of algebraic nonlinear equations using operational matrices of SLPs and LIPs, which are first developed. We investigated at the provided techniques' stability and convergence under several significant conditions.
