ASPG Menu
search

American Scientific Publishing Group

verified Journal

Prospects for Applied Mathematics and Data Analysis

ISSN
Online: 2836-4449
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Prospects for Applied Mathematics and Data Analysis
Full Length Article

Volume 1Issue 1PP: 57-62 • 2023

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

Ahmed Salamah 1* ,
Malath F Alaswad 2 ,
Rasha Dallah 2
1Departement of Mathematics, port said, Egypt
2Departement of Mathematics, Albaath University,Homs, Syria
* Corresponding Author.
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

Choose your preferred format

format_quote
Salamah, Ahmed, Alaswad, Malath F, Dallah, Rasha. "A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry." Prospects for Applied Mathematics and Data Analysis, vol. Volume 1, no. Issue 1, 2023, pp. 57-62. DOI: https://doi.org/10.54216/PAMDA.010105
Salamah, A., Alaswad, M., Dallah, R. (2023). A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry. Prospects for Applied Mathematics and Data Analysis, Volume 1(Issue 1), 57-62. DOI: https://doi.org/10.54216/PAMDA.010105
Salamah, Ahmed, Alaswad, Malath F, Dallah, Rasha. "A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry." Prospects for Applied Mathematics and Data Analysis Volume 1, no. Issue 1 (2023): 57-62. DOI: https://doi.org/10.54216/PAMDA.010105
Salamah, A., Alaswad, M., Dallah, R. (2023) 'A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry', Prospects for Applied Mathematics and Data Analysis, Volume 1(Issue 1), pp. 57-62. DOI: https://doi.org/10.54216/PAMDA.010105
Salamah A, Alaswad M, Dallah R. A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry. Prospects for Applied Mathematics and Data Analysis. 2023;Volume 1(Issue 1):57-62. DOI: https://doi.org/10.54216/PAMDA.010105
A. Salamah, M. Alaswad, R. Dallah, "A Study of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry," Prospects for Applied Mathematics and Data Analysis, vol. Volume 1, no. Issue 1, pp. 57-62, 2023. DOI: https://doi.org/10.54216/PAMDA.010105
Digital Archive Ready