Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1506 2021 2021 Departement of Mathematics, port said, Egypt Ahmed Salamah Departement of Mathematics, Albaath University,Homs, Syria Malath F. Alaswad Departement of Mathematics, Albaath University,Homs, Syria Rasha Dallah 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 2023 33 37 10.54216/JNFS.050203 https://www.americaspg.com/articleinfo/24/show/1506