Some incomplete Riemann-Liouville fractional derivative operators

Abstract

Several investigations were done by many researchers on extended fractional derivatives operators using different kinds of extended Beta functions (see, e.g.,([4],[7],[8],[18],[20]), and references therein). In this sequel, we develop some new properties on incomplete extended Riemann-Liouville fractional derivative operators with the help of new incomplete extended Beta functions. Other than this, we also present the above defined new incomplete extended Beta function, graphically within a wide range of assumed parameters.