Abstract In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, get several fractional different kinds operators.

Bäıou and Balinski (2000) characterized the stable admissions polytope using a system of linear inequalities. The structure of feasible solutions to this system of inequalities —fractional stable matchings—is the focus of this paper. The main result associates a geometric structure with each fractional stable matching. This insight appears to be interesting in its own right, and can be viewed a...

in this paper, boundary value problems of fractional order are converted into an optimal control problems. then an approximate solution is constructed from translations and dilations of a b-spline function such that the exact boundary conditions are satisfied. the fractional differential operators are taken in the riemann-liouville and caputo sense. several example are given and the optimal err...

In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works. 1. Introduction In the last few decades, much signi…cant development of integral inequalities had been established. Integral inequalities have been frequently employed in the theory of applied sciences, di...

A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in the dual lattice, yT A integral such that yT b is fractional. We extend this result to systems that both have equations and inequalities {Ax = b, Cx ≤ d}. We show that a certificate of integral infeasibility is a line...

Abstract The fractional structures of variables using Riemann–Liouville notion have been analyzed by various authors. novel idea this article is to introduce the new weighted behavior on random integral inequalities. In view these, we obtain some generalized inequalities integration continuous variables.

in this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. we approximate the exact solution by use of radial basis function(rbf) collocation method. this techniqueplays an important role to reduce a fractional dierential equation to a system of equations. the numerical results demonstrate the accuracy and ability of this me...

In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.