Abstract
In this paper, we solve the fuzzy heat equations under strongly generalized H-differentiability by fuzzy Laplace transforms. To this end, the original fuzzy heat equation is converted to the corresponding fuzzy two point boundary value problem (FBVP) based on the fuzzy Laplace transform. Then, we will solve the obtained FBVP using characterization theorem. Finally, some numerical examples are given to illustrate the utility of the fuzzy Laplace transform method.
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Salahshour, S., Haghi, E. (2010). Solving Fuzzy Heat Equation by Fuzzy Laplace Transforms. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications. IPMU 2010. Communications in Computer and Information Science, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14058-7_53
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DOI: https://doi.org/10.1007/978-3-642-14058-7_53
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