On the linear fuzzy model associated with Caputo–Fabrizio operator

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2018_boundvalprobl_abdollahi_linear.pdf (1.7 MB)
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URI: http://hdl.handle.net/10347/19950
ISSN: 1687-2762
E-ISSN: 1687-2770
DOI: 10.1186/s13661-018-1010-2

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2018-06-05

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Abstract

In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the general form of their solutions. Some examples are given to illustrate our results

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Caputo–Fabrizio operator| Fuzzy fractional initial value problem| Generalized differentiability| Fuzzy differential equations

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Abdollahi, R., Khastan, A., Nieto, J., & Rodríguez-López, R. (2018). On the linear fuzzy model associated with Caputo–Fabrizio operator. Boundary Value Problems, 2018(1). doi: 10.1186/s13661-018-1010-2

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This work has been partially supported by Agencia Estatal de Investigación (AEI) of Spain under grant MTM201675140-P, and XUNTA de Galicia under grants GRC2015-004 and R2016-022, and and co-financed by the European Community fund FEDER

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© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made

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Estatística, Análise Matemática e Optimización