Improving Corrective Factor Approach through the Application of Mixed Quadrature for Numerical Evaluation of Fractional Integrals

Authors

  • Dwiti Krushna Behera Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India.
  • Rajani Ballav Dash Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India.

DOI:

https://doi.org/10.9734/bpi/rumcs/v8/7542B

Keywords:

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

Abstract

The generalization of ordinary differentiation and integration to arbitrary (non-integer) order is known as fractional calculus. Recently, fractional calculus has been applied in various areas of engineering, science, finance, economics, fluid dynamics, bio-engineering and others. In this paper, we improved the corrective factor approach using a mixed quadrature rule for numerical integration of fractional integral of order \(\alpha\), 0 < \(\alpha\) < 1.

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Published

2024-06-11

How to Cite

Dwiti Krushna Behera, & Rajani Ballav Dash. (2024). Improving Corrective Factor Approach through the Application of Mixed Quadrature for Numerical Evaluation of Fractional Integrals . Research Updates in Mathematics and Computer Science Vol. 8, 1–7. https://doi.org/10.9734/bpi/rumcs/v8/7542B

Issue

Research Updates in Mathematics and Computer Science Vol. 8

Section

Chapters