1
Department of Mathematics, College of Education for Pure Science, University of Babylon, Babil, Iraq
(pure.saher.mohsen@uobabylon.edu.iq)
2
Department of Mathematics, College of Education for Pure Science, University of Babylon, Babil, Iraq
(azal.mera@uobabylon.edu.iq)
3
Department of Mathematics, College of Education for Women, University of Kufa, Al-Najaf, Iraq.
( ameeran.alkiffai@uokufa.edu.iq)
Abstract :
The Mohand transform method, which has the benefit of unit preservation property over the well-established Laplace transform method, is used in this study to solve the ordinary differential equation of second order with neutrosophic numbers as initial conditions. Moreover, the solution obtained at different –cut .
Keywords :
Fuzzy number; Neutrosophic number; Neutrosophic triangular number; Strongly –generalized differentiability; Mohand transform; Fuzzy Mohand transform.
References :
[1] A. Rezaei, T. Oner, T. Katican, F. Smarandache, N. Gandotra, A short history of fuzzy, intuitionistic fuzzy, neutrosophic and plithogenic sets, International Journal of Neutrosophic Science, Vol. 18 , No. 1 , (2022) : 99-116 (Doi : https://doi.org/10.54216/IJNS.180109)
[2] Zadeh, L.A.(1965)"Fuzzy sets", Information and Control , Vol.8, No.3, pp.338-353.
[3] Chakraborty, A. ; Mondal, S.P.; Ahmadian, A.; Senu, N.; Alam, S.; Salahshour , S.(2018) "Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, And their applications", Symmetry, Vol.10, pp.327.
[4] Myvizhi M.,Samah I. Abdel Aal, A Multi-Criteria Decision-Making Model Based on Bipolar Neutrosophic Sets for the Selection of Battery Electric Vehicles, American Journal of Business and Operations Research, Vol. 10 , No. 2 , (2023) : 23-31 (Doi : https://doi.org/10.54216/AJBOR.100203)
[5] Ahmed M. Ali,Ahmed Abdelmouty, Ranking Sustainable Technologies in Wave Energy: Multi-Criteria Decision-Making Approach under Neutrosophic Sets, American Journal of Business and Operations Research, Vol. 10 , No. 2 , (2023) : 14-22 (Doi : https://doi.org/10.54216/AJBOR.100202)
[6] Saini, R.K.; Sangal, A.; Manisha(2020)"Application of single valued Trapezoidal Neutrosophic numbers in transportation problem", Neutrosophic Sets and Systems", Vol.35, pp.563-583.
[7] A wolola, J.(2020)"A Note on the concept of α-level sets of neutrosophic set", Neutrosophic Sets and Systems, Vol.31, pp.120-126.
[8] Mohand, M.; Mahgoub, A.(2017)"The new integral transformation (Mohand Transform)", Advances in Theoretical and Applied Mathematics, Vol.12, no.2, pp.113-120.
[9] Sahar M. Jabbar, Ameera N. Alkiffai, Azal Mera. (2023). Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 08-13.
[10] Cano, Y.C.; Flores, H.R.(2008)"On new solutions of fuzzy differential equations"Chaos, Solitons & Fractals, Vol.38, no.1, pp.112-119.
[11] M. Palanikumar,Aiyared Iampan,Said Broumi, MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators, International Journal of Neutrosophic Science, Vol. 19 , No. 3 , (2022) : 85-94 (Doi : https://doi.org/10.54216/IJNS.190308)
[12] Salahshour, S; Allahviranloo, T.(2013)"Application of fuzzy Laplace transforms" Soft Computing, Vol.17, pp. 145-158.
| Style | # |
|---|---|
| MLA | Sahar M. Jabbar, Azal Mera, Ameera N. Alkiffai. "Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions." International Journal of Neutrosophic Science, Vol. 23, No. 1, 2024 ,PP. 51-58 (Doi : https://doi.org/10.54216/IJNS.230104) |
| APA | Sahar M. Jabbar, Azal Mera, Ameera N. Alkiffai. (2024). Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 51-58 (Doi : https://doi.org/10.54216/IJNS.230104) |
| Chicago | Sahar M. Jabbar, Azal Mera, Ameera N. Alkiffai. "Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions." Journal of International Journal of Neutrosophic Science, 23 no. 1 (2024): 51-58 (Doi : https://doi.org/10.54216/IJNS.230104) |
| Harvard | Sahar M. Jabbar, Azal Mera, Ameera N. Alkiffai. (2024). Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 51-58 (Doi : https://doi.org/10.54216/IJNS.230104) |
| Vancouver | Sahar M. Jabbar, Azal Mera, Ameera N. Alkiffai. Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 1 ): 51-58 (Doi : https://doi.org/10.54216/IJNS.230104) |
| IEEE | Sahar M. Jabbar, Azal Mera, Ameera N. Alkiffai, Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 1 , (2024) : 51-58 (Doi : https://doi.org/10.54216/IJNS.230104) |