535 503
Full Length Article
Prospects for Applied Mathematics and Data Analysis
Volume 1 , Issue 1, PP: 57-62 , 2023 | Cite this article as | XML | Html |PDF

Title

A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry

  Ahmed Salamah 1 * ,   Malath F Alaswad 2 ,   Rasha Dallah 3

1  Departement of Mathematics, port said, Egypt
    (drsalama44@gmail.com)

2  Departement of Mathematics, Albaath University,Homs, Syria
    (Malaz.Aswad@yahoo.com)

3  Departement of Mathematics, Albaath University,Homs, Syria
    (rasha.dallah20@gmail.com)


Doi   :   https://doi.org/10.54216/PAMDA.010105

Received: August 13, 2022 Accepted: December 26, 2022

Abstract :

In this paper, the definition of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry. The main objective is define a Neutrosophic identical linear differential equation and Neutrosophic non-homogeneous linear differential equation and find solutions for this equation.

Keywords :

One-Dimensional Geometric AH-Isometry; Neutrosophic linear Differential Equation; Neutrosophic real number.

References :

[1]  Smarandache F. Neutrosophic Precalculus and Neutrosophic calclus, University of New Mexico, 705 Gurley 

Ave. Gallup, NM 87301, USA, 2015.

[2]  Smarandache F. Neutrosophic Measure and Neutrosophic Integral , In Neutrosophic Sets and Systems, 3 –

7, Vol. 1, 2013.

[3]  A.  A  Salama,  Smarandache  F.  Kroumov,  Neutrosophic  Closed  Set  and  Continuous  Functions,  in 

Neutrosophic Sets and Systems, Vol.4, 4- 8, 2014.

[4]  A. A Salama; I. M Hanafy; Hewayda Elghawalby Dabash M.S, Neutrosophic Crisp Closed RRegion and 

Neutrosophic Crisp Continuous Functions, New Trends in Neutrosophic Theory and Applications.

[5]  A. A Salama; Hewayda Elghawalby; M.S, Dabash; A.M. NASR, Retrac Neutrosophic Crisp System For 

Gray Scale Image, Asian Journal Of Mathematics and Computer Research, Vol 24, 104-117, (2018).

[6]  F.  smarandache.  "Neutrosophy  and  Neutrosophic  Logic,  First  International  Conference  on  Neutrosophy, 

neutrosophic Logic, Set, Probability, and Statistics" University of New Mexico, Gallup, NM87301, USA 

2002.

[7]  M. Abdel-Basset; E. Mai. Mohamed; C. Francisco; H. Z. Abd EL-Nasser. "Cosine similarity measures of 

bipolar neutrosophic set for diagnosis of bipolar disorder diseases" Artificial Intelligence in Medicine Vol. 

101, 101735, (2019).

[8]  M.  Abdel-Basset;  E.  Mohamed;  G.  Abdullah;  and  S.  Florentin.  "A  novel  model  for  evaluation  Hospital 

medical care systems based on plithogenic sets" Artificial Intelligence in Medicine 100 (2019), 101710.

[9]   M. Abdel-Basset; G. Gunasekaran Mohamed; G. Abdullah. C. Victor, "A Novel Intelligent Medical Decision 

Support Model Based on soft Computing and Iot" IEEE Internet of Things Journal, Vol. 7, (2019).

[10]  M. Abdel-Basset; E. Mohamed; G. Abdullah; G. Gunasekaran; L. Hooang Viet." A novel group decision 

making model based on neutrosophic sets for heart disease diagnosis" Multimedia Tools and Applications, 

1-26, (2019).

[11]  A.  A  Salama.  Basic  Structure  of  Some  Classes  of  Neutrosophic  Crisp  Nearly  Open  Sets  and  Possible 

Application to GIS Topology. Neutrosophic Sets and Systems, Vol. 7, 18-22, (2015).

[12]  A. A Salama; F. Smarandache. Neutrosophic Set Theory, Neutrosophic Sets and Systems, Vol. 5, 1-9, (2014).

[13]  F.  Smarandache,  The  Neutrosophic  Triplet  Group  and  its  Application  to  physics,  Seminar  Universidad 

National de Quilmes , Department of science and Technology, Beunos Aires, Argentina, 20 June 2014.

[14]  A. B.AL-Nafee; R.K. Al-Hamido; F.Smarandache. "Separation Axioms In Neutrosophic Crisp Topological 

Spaces", Neutrosophic Sets and Systems, vol. 25, 25-32, (2019).

[15]  R.K. Al-Hamido, Q. H. Imran, K. A. Alghurabi, T. Gharibah, “On Neutrosophic Crisp Semi Alpha Closed 

Sets”, Neutrosophic Sets and Systems”, vol. 21, 28-35, (2018). 

[16]  Q. H. Imran, F. Smarandache, R.K. Al-Hamido, R. Dhavasselan, “On Neutrosophic Semi Alpha open Sets”, 

Neutrosophic Sets and Systems, vol. 18, 37-42, (2017).

[17]  Al-Hamido, R. K.; “A study of multi-Topological Spaces”, PhD Theses, AlBaath university , Syria, (2019).

[18]  Al-Hamido,  R.  K.;  “Neutrosophic  Crisp  Supra  Bi-Topological  Spaces”,  International  Journal  of 

Neutrosophic Science, Vol. 1, 66-73, (2018). 

[19]  R.K. Al-Hamido, “Neutrosophic Crisp Bi-Topological Spaces”, Neutrosophic Sets and Systems, vol. 21, 66-73, (2018). 

[20]  R.K.  Al-Hamido,  T.  Gharibah,  S.  Jafari  F.Smarandache,  “On  Neutrosophic  Crisp  Topology  via  NTopology”, Neutrosophic Sets and Systems, vol. 21, 96-109, (2018).

[21]  A. Hatip, "The Special Neutrosophic Functions," International Journal of Neutrosophic Science (IJNS), p. 

13, 12 May 2020. 


Cite this Article as :
Style #
MLA Ahmed Salamah, Malath F Alaswad, Rasha Dallah. "A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry." Prospects for Applied Mathematics and Data Analysis, Vol. 1, No. 1, 2023 ,PP. 57-62 (Doi   :  https://doi.org/10.54216/PAMDA.010105)
APA Ahmed Salamah, Malath F Alaswad, Rasha Dallah. (2023). A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry. Journal of Prospects for Applied Mathematics and Data Analysis, 1 ( 1 ), 57-62 (Doi   :  https://doi.org/10.54216/PAMDA.010105)
Chicago Ahmed Salamah, Malath F Alaswad, Rasha Dallah. "A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry." Journal of Prospects for Applied Mathematics and Data Analysis, 1 no. 1 (2023): 57-62 (Doi   :  https://doi.org/10.54216/PAMDA.010105)
Harvard Ahmed Salamah, Malath F Alaswad, Rasha Dallah. (2023). A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry. Journal of Prospects for Applied Mathematics and Data Analysis, 1 ( 1 ), 57-62 (Doi   :  https://doi.org/10.54216/PAMDA.010105)
Vancouver Ahmed Salamah, Malath F Alaswad, Rasha Dallah. A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 1 ( 1 ): 57-62 (Doi   :  https://doi.org/10.54216/PAMDA.010105)
IEEE Ahmed Salamah, Malath F Alaswad, Rasha Dallah, A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 1 , No. 1 , (2023) : 57-62 (Doi   :  https://doi.org/10.54216/PAMDA.010105)