A Fractional Cubic Spline for Solving Fractional Volterra-Integral
Equations with Convergence Analysis
Abstract
n this work, we present a new boundary conditions for fractional cubic
spline (FCS) model for solving fractional Volterra-integral equations.
We reduced the problem to a set of a linear systems by using fractional
continuity conditions. Convergence analysis proved to solve fractional
Volterra-integral equations by obtained linear systems, to determine
fractional spline derivatives, we applied the Caputo fractional
derivative. The process is detailed and computed with three
computational examples, and the results show that it is both effective
and simple to use. Moreover, the results are compared with the methods
in [1 ], [ 2 ] and [4].