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Fuzzy Multi Quadric Radial Basis Functions for Solving Fractional Boundary Value Problems

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Progress in Intelligent Decision Science (IDS 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1301))

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Abstract

This paper deals with the solution of fuzzy fractional boundary value problems (FFBVP) under the fuzzy radial basis functions interpolation.

To achieve this aim, the Caputo generalized Hukuhara differentiability form is derived from the fuzzy radial basis functions interpolation.

Finally, the algorithm of solving fuzzy fractional boundary value problems is presented.

Moreover, a numerical example is solved to illustrate the ability of the fuzzy introduced method and the results presented by the error table and figures.

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Correspondence to M. Dirbaz .

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Dirbaz, M., Dirbaz, F. (2021). Fuzzy Multi Quadric Radial Basis Functions for Solving Fractional Boundary Value Problems. In: Allahviranloo, T., Salahshour, S., Arica, N. (eds) Progress in Intelligent Decision Science. IDS 2020. Advances in Intelligent Systems and Computing, vol 1301. Springer, Cham. https://doi.org/10.1007/978-3-030-66501-2_67

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