An Approach to Riemannian Geometry within Conformable Fractional Derivative

Abstract

In this paper, we introduce the conformable fractional Christoffel index symbols of a first and second kind and also we study some of its basic properties. The transformations of conformable fractional Christoffel symbols are obtained. We modify the covariant and absolute derivatives of tensor by involving conformable fractional derivative and obtained conformable fractional covariant, absolute derivatives of addition of two tensors. An illustrative example is presented.