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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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International Journal of Neutrosophic Science
Full Length Article

Volume 24Issue 4PP: 257-267 • 2024

LRPS Method for Solving Linear Partial Differential Equations and Neutrosophic Differential Equations of Fractional Order with Numerical Solutions

Mohammed Qassim 1* ,
Mohammed Abed Daim Zoba 1 ,
Ahmed Hadi Hussain 2
1College of the Basic Education, Mathematics and Computer Department, University of Babylon, Iraq
2College of the Engineering, Al-Musayab, Energy Engineering Department, University of Babylon
* Corresponding Author.
Received: November 04, 2023 Revised: March 09, 2024 Accepted: June 12, 2024

Abstract

In this work, fractional partial equations' and neutrosophic fractional partial equations analytical series solutions are presented, we consider the fractional derivative in the meaning of Caputo in these formulas. We offer a novel objective method the LRPS which is a strong instrument for precise analytically and numerical solutions to these problems by setting an excellent example, we stress precision, effectiveness, and application style, also we can find exact answers when there is a pattern between the series' parts; alternatively, we can only offer approximations. The Mathematica application is used to assess the numerical and graphical findings to make sure the solutions generated are accurate and that the approach can be modified to solve this kind of this problem. The findings obtained demonstrated that our current procedure is appropriate and efficient for resolving PDEs.

Keywords

LRPS Method Caputo Fractional Order Numerical Solutions neutrosophic differential equations.

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Cite This Article

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Qassim, Mohammed, Zoba, Mohammed Abed Daim, Hussain, Ahmed Hadi. "LRPS Method for Solving Linear Partial Differential Equations and Neutrosophic Differential Equations of Fractional Order with Numerical Solutions." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 4, 2024, pp. 257-267. DOI: https://doi.org/10.54216/IJNS.240419
Qassim, M., Zoba, M., Hussain, A. (2024). LRPS Method for Solving Linear Partial Differential Equations and Neutrosophic Differential Equations of Fractional Order with Numerical Solutions. International Journal of Neutrosophic Science, Volume 24(Issue 4), 257-267. DOI: https://doi.org/10.54216/IJNS.240419
Qassim, Mohammed, Zoba, Mohammed Abed Daim, Hussain, Ahmed Hadi. "LRPS Method for Solving Linear Partial Differential Equations and Neutrosophic Differential Equations of Fractional Order with Numerical Solutions." International Journal of Neutrosophic Science Volume 24, no. Issue 4 (2024): 257-267. DOI: https://doi.org/10.54216/IJNS.240419
Qassim, M., Zoba, M., Hussain, A. (2024) 'LRPS Method for Solving Linear Partial Differential Equations and Neutrosophic Differential Equations of Fractional Order with Numerical Solutions', International Journal of Neutrosophic Science, Volume 24(Issue 4), pp. 257-267. DOI: https://doi.org/10.54216/IJNS.240419
Qassim M, Zoba M, Hussain A. LRPS Method for Solving Linear Partial Differential Equations and Neutrosophic Differential Equations of Fractional Order with Numerical Solutions. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 4):257-267. DOI: https://doi.org/10.54216/IJNS.240419
M. Qassim, M. Zoba, A. Hussain, "LRPS Method for Solving Linear Partial Differential Equations and Neutrosophic Differential Equations of Fractional Order with Numerical Solutions," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 4, pp. 257-267, 2024. DOI: https://doi.org/10.54216/IJNS.240419
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