A New k-Fractional Integral Operators and their Applications

摘要

In this paper, we present a new k-fractional integral oper-ators involvingparameters γ, λ analogous to the Riemann-Liouville k-fractional integral. This newfractional integral operators dependent on an exponential function of arbitrary exponent inthe kernel of the integral. We prove, certain basic properties such as semi group property,commu-tative law and boundedness for new fractional integral operators. Also, we discussChebyshev type inequalities and some k-fractional integral in-equalities corresponding tothe new k-fractional integral operators.