On On Variational Calculus With Fuzzy Initial Condition and Free Final Condition

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DOI:

https://doi.org/10.5540/tcam.2026.027.e01902

Keywords:

Zadeh’s extension, fuzzy, variational calculus

Abstract

Many mathematical problems involve some kind of subjectivity. This paper studies the problem of variational calculus with fuzzy initial condition and free final condition. The solution is obtained by applying the Zadeh’s extension to the classical solution, with respect to initial condition. Using a partial order relation for fuzzy numbers, a theorem that ensures the optimality of this solution is proved.

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Published

2026-10-02

How to Cite

Oliveira, J. D. S., & Bassanezi, R. C. (2026). On On Variational Calculus With Fuzzy Initial Condition and Free Final Condition. Trends in Computational and Applied Mathematics, 27(1), e01902. https://doi.org/10.5540/tcam.2026.027.e01902

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Original Article