New computational techniques for solving nonlinear problems using g-fractional differential operator

摘要

The main interest of this paper is to describe new computational techniques for solving nonlinear problems using g-fractional differential operators. First, we introduce the concept of the g-conformable fractional differential operator on g-semiring. Then, the mean value theorem and Rolle’s theorem for g-conformable fractional differential operator are investigated. Moreover, we consider the exact solution of g-fractional differential equations.