Riemann-Liouville fractional operators with generalized Bessel-Maitland function as its kernel

Nabiullah Khan, Shorab Wali Khan


In several areas of mathematical physics and engineering sciences, integral transforms and fractional calculus operators play an important role from the application point of view. A remarkably large number of integral transforms as well as fractional integral and derivative formulas involving various special functions have been investigated by many authors. This paper is a short portrayal, concerning the utilization of Riemann-Liouville fractional operators on generalized Bessel-Maitland function. The main results demonstrate how the operators aects the parameters i.e., the Riemann-Liouville fractional integral operator and differential operator involving Bessel-Maitland function are expressed in terms of Mittag-Leer functions. The main results can be applied to obtain certain special cases by specialising the parameters.

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