aspg-24-1506-1791482620 20261008180340 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2023 5 2 Ahmed Salamah Departement of Mathematics, port said, Egypt Malath F. Alaswad Departement of Mathematics, Albaath University,Homs, Syria Rasha Dallah Departement of Mathematics, Albaath University,Homs, Syria The objective of this paper is to study and define the neutrosophic real functions with one neutrosophic variable depending on the geometric isometry (AH-Isometry), with a lot of concepts from real analysis including continuality, differentiability, derivativility, integrability. We have presented the formal forms of different popular functions in neutrosophic environment like logarithmic function, exponential function, trigonometric functions. Rising neutrosophic derivative, indefinite integral, and definite integral well defined including rising to neutrosophic functions. 2023 33 37 1506 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.050203 https://www.americaspg.com/journal/24/article/1506 https://www.americaspg.com/storage/91678442854.pdf