SOME INCOMPLETE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE OPERATORS

SOME INCOMPLETE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE OPERATORS

M. Menon, E. MittaL, R. Gupta

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Abstract

Several investigations were done by many researchers on extended fractional derivatives operators using dierent 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 dened new incomplete extended Beta function, graphically within a wide range of assumed parameters.

Keywords

Incomplete gamma function, Incomplete generalized hypergeometric functions, Incomplete Pochhammer ratio, Incomplete beta function, Riemann-Liouville fractional derivative.