Estimation of Fractional Operators with Bessel Maitland Function

Abstract

  The Bessel-Maitland function, a generalization of the classical Bessel functions, has emerged as a valuable tool in this domain.  In this paper, our aim is to design the new fractional integral operator in which using Bessel Maitland function as its kernel. Main considerations is composition of Riemann Liouville fractional operators with new fractional integral operator and also discuss with Bessel Maitland function. We investigate the convergence and boundedness of designed fractional integral operator.