Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2018
  • Volume: 37e
  • Issue: 2

Application of mixed quadrature for numerical evaluation of fractional integrals

1Department of Mathematics, Ravenshaw University, Cuttack, Odisha, 753003, India. E-mail: dwiti78@gmail.com

2Department of Mathematics, Ravenshaw University, Cuttack, Odisha, 753003, India. E-mail: rajani_bdash@rediffmail.com

*Corresponding Author: Rajani Ballav Dash, Department of Mathematics, Ravenshaw University, Cuttack, Odisha, 753003, India. E-mail: rajani_bdash@rediffmail.com

2010 A.M.S. Mathematics Subject Classification: 65D30, 65D32

Abstract

In this paper, we improve the corrective factor approach using a mixed quadrature rule for numerical integration of fractional integral of order α, 0 < α < 1.

Keywords

Mixed quadrature rule, fractional integral, corrective factors, semi-fractional integral, Fejer's second quadrature rule, Gaussian rule