Volume 5 • Issue 2 • PP: 33-37 • 2023
A Study of Derivative and Integration a Neutrosophic Functions
Open Access & Copyright
© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
Abstract
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.
Keywords
References
[1] Abobala, M., "AH-Subspaces in Neutrosophic Vector Spaces", International Journal of Neutrosophic
Science, Vol. 6 , pp. 80-86. 2020.
[2] Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International
Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.
[3] Sankari, H., and Abobala, M., "Neutrosophic Linear Diophantine Equations With two Variables",
Neutrosophic Sets and Systems, Vol. 38, pp. 22-30, 2020.
[4] Sankari, H., and Abobala, M." n-Refined Neutrosophic Modules", Neutrosophic Sets and Systems, Vol.
36, pp. 1-11. 2020.
[5] Alhamido, R., and Abobala, M., "AH-Substructures in Neutrosophic Modules", International Journal of
Neutrosophic Science, Vol. 7, pp. 79-86 . 2020.
[6] Smarandache, F., " A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set,
Neutrosophic Probability", American Research Press. Rehoboth, 2003.
[7] Suresh, R., and S. Palaniammal,. "Neutrosophic Weakly Generalized open and Closed Sets", Neutrosophic
Sets and Systems, Vol. 33, pp. 67-77,. 2020.
[8] Olgun, N., and Hatip, A., "The Effect Of The Neutrosophic Logic On The Decision Making, in
Quadruple Neutrosophic Theory And Applications", Belgium, EU, Pons Editions Brussels,pp. 238 -253.
2020.
[9] Hatip, A., Alhamido, R., and Abobala, M., "A Contribution to Neutrosophic Groups", International
Journal of Neutrosophic Science", Vol. 0, pp. 67-76 . 2019.
[10] Abobala, M., " n-Refined Neutrosophic Groups I", International Journal of Neutrosophic Science, Vol. 0,
pp. 27-34. 2020.
[11] Abobala, M., "Classical Homomorphisms Between n-refined Neutrosophic Rings", International Journal
of Neutrosophic Science", Vol. 7, pp. 74-78. 2020.
[12] Smarandache, F., and Abobala, M., n-Refined neutrosophic Rings, International Journal of Neutrosophic
Science, Vol. 5 , pp. 83-90, 2020.
[13] Abobala, M., On Some Special Substructures of Neutrosophic Rings and Their Properties, International
Journal of Neutrosophic Science", Vol. 4 , pp. 72-81, 2020.
[14] Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of
Neutrosophic Science, Vol. 5, pp. 59-66. 2020.
[15] Sankari, H., and Abobala, M.," AH-Homomorphisms In neutrosophic Rings and Refined Neutrosophic
Rings", Neutrosophic Sets and Systems, Vol. 38, pp. 101-112, 2020.
Cite This Article
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.