Generalization of Fuzzy Laplace Transforms of Fuzzy Fractional Derivatives about the General Fractional Order

Amal Khalaf Haydar and Ruaa Hameed Hassan

Mathematical Problems in Engineering, 2016, vol. 2016, 1-13

Abstract:

The main aim in this paper is to use all the possible arrangements of objects such that of them are equal to 1 and (the others) of them are equal to 2, in order to generalize the definitions of Riemann-Liouville and Caputo fractional derivatives (about order ) for a fuzzy-valued function. Also, we find fuzzy Laplace transforms for Riemann-Liouville and Caputo fractional derivatives about the general fractional order under H-differentiability. Some fuzzy fractional initial value problems (FFIVPs) are solved using the above two generalizations.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6380978

DOI: 10.1155/2016/6380978

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