In order to show novel generalizations of mathematical inequality, fractional integral operators are frequently used. Fractional used simulate a broad range scientific as well engineering phenomena such elasticity, viscous fluid, fracture mechanics, continuous population, equilibrium, visco-elastic deformation, heat conduction problems, and others. this manuscript, we introduce some notions gen...

This paper studies functionals defined by multiple integrals associated to differential forms on the jet bundle of first order corresponding to some Riemannian manifolds; the domain of these functionals consists in submanifold maps satisfying certain conditions of integrability. Our idea is to give geometric properties to the domain of a functional allowing us to properly define convexity. The ...

The theory of convex and nonconvex mapping has a lot applications in the field applied mathematics engineering. Riemann integrals are most significant operator interval theory, which permits generalization classical integrals. This study considers well-known coordinated interval-valued Hermite–Hadamard-type associated inequalities. To full fill this mileage, we use introduced left right preinve...