New computational techniques for solving nonlinear problems using \(g\)-fractional differential operator (Q1675938)

This paper introduces and studies the \(g\)-conformable fractional differential operator on a \(g\)-semiring. Two main results: Rolle's theorem and mean value theorem are presented in this setting. It is important to note that the conformable fractional operator actually reduces to standard derivative. The exact solution of a linear pseudo-conformable fractional differential equations of order alpha is discussed.