Generalization of Fuzzy Laplace Transforms of Fuzzy Fractional Derivatives about the General Fractional Order n-1<β<n
The main aim in this paper is to use all the possible arrangements of objects such that r1 of them are equal to 1 and r2 (the others) of them are equal to 2, in order to generalize the definitions of Riemann-Liouville and Caputo fractional derivatives (about order 0<β<n) for a fuzzy-valued fun...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2016-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2016/6380978 |
Summary: | The main aim in this paper is to use all the possible arrangements of objects such that r1 of them are equal to 1 and r2 (the others) of them are equal to 2, in order to generalize the definitions of Riemann-Liouville and Caputo fractional derivatives (about order 0<β<n) for a fuzzy-valued function. Also, we find fuzzy Laplace transforms for Riemann-Liouville and Caputo fractional derivatives about the general fractional order n-1<β<n under H-differentiability. Some fuzzy fractional initial value problems (FFIVPs) are solved using the above two generalizations. |
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ISSN: | 1024-123X 1563-5147 |