Galoitica: Journal of Mathematical Structures and Applications

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Volume 1 , Issue 2 , PP: 17-26, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry

Ahmed A. Salama 1 * , Malath F Alaswad 2 , Rasha Dallah 3 , Rozina Ali 4

  • 1 Departement of Mathematics and Computer science, port said, Egypt - (drsalama44@gmail.com)
  • 2 PHD of Mathematics, GaziAntep, Turkey - (Malaz.Aswad@yahoo.com)
  • 3 Departement of Mathematics, Albaath University, Homs, Syria - (rasha.dallah20@gmail.com )
  • 4 Departmrnt Of Mathematics, Cairo University, Egypt - (rozyyy123n@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.010204

    Received: January 22, 2022 Accepted: April 21, 2022
    Abstract

    In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.

    Keywords :

    One-Dimensional Geometric AH-Isometry , Neutrosophic linear Differential Equation , Neutrosophicreal number.

    References

    [1] Smarandache F. NeutrosophicPrecalculus and Neutrosophiccalclus, University of New Mexico, 705 Gurley

    Ave. Gallup,NM 87301, USA, 2015.

    [2] Smarandache F. Neutrosophic Measure and NeutrosophicIntegral , 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; HewaydaElghawalbyDabash M.S, Neutrosophic Crisp Closed RRegion and

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

    [5] A. A Salama; HewaydaElghawalby; M.S,Dabash; A.M. NASR, RetracNeutrosophic 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] Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module

    Homomorphisms", International journal of neutrosophic science, 2022.

    [9] Smarandache F., and Abobala, M., "n-Refined Neutrosophic Vector Spaces", International Journal of

    Neutrosophic Science, Vol. 7, pp. 47-54. 2020.

    [10] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic

    Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

    [11] Abobala, M., A Study of Maximal and Minimal Ideals of n-Refined Neutrosophic Rings, Journal of Fuzzy

    Extension and Applications, Vol. 2, pp. 16-22, 2021.

    [12] 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.

    [13] 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).

    [14] 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).

    [15] 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).

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

    (2014).

    [17] 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.

    [18] 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).

    [19] Abobala, M., Bal, M., and Hatip, A.," A Review On Recent Advantages In Algebraic Theory Of

    Neutrosophic Matrices", International Journal of Neutrosophic Science, Vol. 17, 2021.

    [20] 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).

    [21] Sankari, H., and Abobala, M., "Neutrosophic Linear Diophantine Equations With two Variables",

    Neutrosophic Sets and Systems, Vol. 38, pp. 22-30, 2020.

    [22] Sankari, H., and Abobala, M." n-Refined Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 36,

    pp. 1-11. 2020.

    [23] Abobala, M., "AH-Subspaces in Neutrosophic Vector Spaces", International Journal of Neutrosophic

    Science, Vol. 6 , pp. 80-86. 2020.

    [24] Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International

    Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

    [25] Agboola, A.A.A., "On Refined Neutrosophic Algebraic Structures," Neutrosophic Sets and

    Systems,Vol.10, pp. 99-101. 2015.

    [26] Abobala, M., "Classical Homomorphisms Between Refined Neutrosophic Rings and Neutrosophic Rings",

    International Journal of Neutrosophic Science, Vol. 5, pp. 72-75. 2020.

    [27] 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).

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

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

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

    [30] R.K. Al-Hamido, “Neutrosophic Crisp Bi-Topological Spaces”, Neutrosophic Sets and Systems, vol. 21,

    66-73, (2018).

    [31] R.K. Al-Hamido, T. Gharibah, S. JafariF.Smarandache, “On Neutrosophic Crisp Topology via NTopology”,

    Neutrosophic Sets and Systems, vol. 21, 96-109, (2018).

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

    13, 12 May 2020.\

    [33] Kandasamy, I., Kandasamy, V., and Smarandache, F., "Algebraic structure of Neutrosophic Duplets in

    Neutrosophic Rings", Neutrosophic Sets and Systems, Vol. 18, pp. 85-95. 2018.

    [34] Sankari, H., and Abobala, M.," AH-Homomorphisms In neutrosophic Rings and Refined Neutrosophic

    Rings", Neutrosophic Sets and Systems, Vol. 38, pp. 101-112, 2020.

    [35] Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient

    Conditions For The Diagonalization of Refined Neutrosophic Matrices", International Journal of

    Neutrosophic Science, Vol. 16, pp. 72-79, 2021.

    [36] Aswad, F, M., " A Study of Neutrosophic Complex Number and Applications", Neutrosophic Knowledge,

    Vol. 1, 2020.

    [37] Aswad, M., " A Study of The Integration Of Neutrosophic Thick Function", International journal of

    neutrosophic Science, 2020.

    [38] Abobala, M, "n-Cyclic Refined Neutrosophic Algebraic Systems Of Sub-Indeterminacies, An Application

    To Rings and Modules", International Journal of Neutrosophic Science, Vol. 12, pp. 81-95 . 2020.

    [39] M. Ali, F. Smarandache, M. Shabir and L. Vladareanu., "Generalization of Neutrosophic Rings and

    Neutrosophic Fields", Neutrosophic Sets and Systems, vol. 5, pp. 9-14, 2014.

    [40] Smarandache, F., and Abobala, M., n-Refined neutrosophic Rings, International Journal of Neutrosophic

    Science, Vol. 5 , pp. 83-90, 2020.

    [41] Abobala, M., " Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic

    Modules and Strong Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 39, 2021.

    [42] Abobala, M., "On Some Neutrosophic Algebraic Equations", Journal of New Theory, Vol. 33, 2020.

    [43] Abobala, M., On The Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations,

    Journal of Mathematics, Hindawi, 2021.

    [44] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined

    Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

    [45] Kandasamy V, Smarandache F., and Kandasamy I., Special Fuzzy Matrices for Social Scientists . Printed in

    the United States of America,2007, book, 99 pages.

    [46] Abobala, M., Partial Foundation of Neutrosophic Number Theory, Neutrosophic Sets and Systems, Vol. 39

    , 2021.

    [47] Giorgio, N, Mehmood, A., and Broumi, S.," Single Valued neutrosophic Filter", International Journal of

    Neutrosophic Science, Vol. 6, 2020.

    [48] Abobala, M., Hatip, A., Olgun, N., Broumi, S., Salama, A,A., and Khaled, E, H., The algebraic creativity In

    The Neutrosophic Square Matrices, Neutrosophic Sets and Systems, Vol. 40, pp. 1-11, 2021.

    [49] Abobala, M., "Neutrosophic Real Inner Product Spaces", Neutrosophic Sets and Systems, Vol. 43, 2021.

    [50] Abobala, M., "On Some Special Elements In Neutrosophic Rings and Refined Neutrosophic Rings",

    Journal of New Theory, vol. 33, 2020.

    [51] Chellamani, P., and Ajay, D., "Pythagorean neutrosophic Fuzzy Graphs", International Journal of

    Neutrosophic Science, Vol. 11, 2021.

    [52] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings",

    Neutrosophic Sets and Systems, Vol. 45, 2021.

    [53] Abobala, M., Hatip, A., Bal,M.," A Study Of Some Neutrosophic Clean Rings", International journal of

    neutrosophic science, 2022.

     

    Cite This Article As :
    A., Ahmed. , F, Malath. , Dallah, Rasha. , Ali, Rozina. A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2022, pp. 17-26. DOI: https://doi.org/10.54216/GJMSA.010204
    A., A. F, M. Dallah, R. Ali, R. (2022). A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry. Galoitica: Journal of Mathematical Structures and Applications, (), 17-26. DOI: https://doi.org/10.54216/GJMSA.010204
    A., Ahmed. F, Malath. Dallah, Rasha. Ali, Rozina. A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry. Galoitica: Journal of Mathematical Structures and Applications , no. (2022): 17-26. DOI: https://doi.org/10.54216/GJMSA.010204
    A., A. , F, M. , Dallah, R. , Ali, R. (2022) . A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry. Galoitica: Journal of Mathematical Structures and Applications , () , 17-26 . DOI: https://doi.org/10.54216/GJMSA.010204
    A. A. , F M. , Dallah R. , Ali R. [2022]. A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry. Galoitica: Journal of Mathematical Structures and Applications. (): 17-26. DOI: https://doi.org/10.54216/GJMSA.010204
    A., A. F, M. Dallah, R. Ali, R. "A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 17-26, 2022. DOI: https://doi.org/10.54216/GJMSA.010204