Certain Matrix Riemann-Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials

The fractional integrals involving a number of special functions and polynomials have significant importance and applications in diverse areas of science; for example, statistics, applied mathematics, physics, and engineering. In this paper, we aim to introduce a slightly modified matrix of Riemann-Liouville fractional integrals and investigate this matrix of Riemann-Liouville fractional integrals associated with products of certain elementary functions and generalized Bessel matrix polynomials. We also consider this matrix of Riemann-Liouville fractional integrals with a matrix version of the Jacobi polynomials. Furthermore, we point out that a number of Riemann-Liouville fractional integrals associated with a variety of functions and polynomials can be presented, which are presented as problems for further investigations.

Automated summary

This paper introduces a modified matrix of Riemann-Liouville fractional integrals and investigates its relationship with certain functions and polynomials. It also considers the matrix in connection with Jacobi polynomials and points out potential avenues for further research on fractional integrals.