On Refined Netrusophic Fractional Calculus
Faculty of Science, Department of Mathematics, Idlib University, Idlib Syria
Department of Mathematics, University of Gaziantep, Turkey
Emails: dr.mohamad.kh@idlib-university.com; kollnaar5@gmail.com
Abstract
Depending on the geometric isometry (AH-Isometry), it has been proven that every Neutrosophic real function is equivalent to three real functions. Then, the foundation of the Refined Netrusophic calculus was established, where new definitions of Refined Netrusophic integration and Refined Netrusophic differentiation were introduced, along with some illustrative examples. Following that, definitions for the Refined Netrusophic gamma function and Refined Netrusophic beta function were presented to pave the way towards achieving the desired goal, which is Refined Netrusophic Fractional calculus.
Keywords: Refined Neutrosophic real function; Refined Neutrosophic Integration; Refined Neutrosophic Derivative; Refined Netrusophic Fractional integral and Refined Netrusophic Fractional Derivative.