Abstract The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in sense synchronous functions by employing proportional (PFI) and Hadamard integral. We establish concerning one- two-parameter integrals. also discuss particular cases.

Abstract In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, use a proportional operator with respect to another strictly increasing continuous function ? . The functions used in work are bounded by two positive get reverse Minkowski new sense. Moreover, introduce which have close relationship the Minkowski-type via -proportional integral, then...

In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools ...

Fractional integral operators are useful tools for generalizing classical inequalities. Convex functions play very important role in the theory of mathematical This paper aims to investigate Hadamard type inequalities a generalized class namely strongly (α,h−m)-p-convex by using Riemann–Liouville fractional integrals. The results established this give refinements various well-known which have b...

In this article, inequalities of reverse Minkowski type involving weighted fractional operators are investigated. addition, new integral related to also established.