A Using the Fuzzy Centre Method to Solve Nth-order Linear Fuzzy Differential Equations with boundary and Initial Conditions

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Published: Oct 16, 2024
DOI: https://doi.org/10.51984/sucp.v3i2.3438
Keywords:
Fuzzy Number, Fuzzy Differential Equation, Fuzzy Centre -Based Methods , Fuzzy Boundary Value Problem , Hukuhara Derivative

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H. M. Egadi
Department of Mathematics, Faculty of Science, University of Sabha
A. A. Ashat
Department of Mathematics, Faculty of Arts and Sciences Ubari, University of Sabha

Abstract

This paper presents an analytical method for solving fuzzy linear differential equations with fuzzy initial conditions. The study investigates three distinct cases based on the signs of the coefficients in the fuzzy differential equations. The proposed method relies on transforming the fuzzy differential equation into an ordinary differential equation using the Fuzzy Centre Method (FCM). Subsequently, the ordinary differential equation is solved using a standard method. Finally, the solution is rewritten using the fuzzy membership function μ(x) to obtain the solution of the fuzzy linear differential equation. The method is illustrated through illustrative examples.

Article Details

How to Cite
H. M. Egadi, & A. A. Ashat. (2024). A Using the Fuzzy Centre Method to Solve Nth-order Linear Fuzzy Differential Equations with boundary and Initial Conditions. Sebha University Conference Proceedings, 3(2), 7–14. https://doi.org/10.51984/sucp.v3i2.3438
Conference Proceedings Volume
Vol. 3 No. 2 (2024): The 7th International Conference on Science and Technology
Section
Confrence Proceeding
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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