Jeta Ram

Inequalities associated with Čebyšev functional for Saigo fractional integration operator

By making use of Saigo operator of fractional integration, some integral inequalities for the Čebyšev functional in the case of two synchronous functions are investigated which provide extensions in several directions of earlier results given for Riemann–Liouville operator.

Application of Generalized Fractional Calculus Operators in the Solution of Certain Dual Integral Equations

A formal solution of certain dual integral equations involving H-functions is derived by the application of the operators of fractional calculus due to Saigo [14,15]. It has been shown that the given dual integral equations can be transformed, by the application of the operators, into two others with a common kernel and the problem then reduces to that of solving a single integral equation. Since the common kernel comes out to be a symmetrical Fourier kernel investigated by Fox [8], the formal solution readily follows.

New fractional integral inequalities associated with pathway operator

This paper deals with the derivation of certain integral inequalities involving fractional integral operators of Chebyshev type by an application of the pathway fractional integral operator. The results obtained are of general character and provide extension of results given by Belarbi and Dahmani.