RT Journal Article
T1 A Fuzzy Method for Solving Fuzzy Fractional Differential Equations Based on the Generalized Fuzzy Taylor Expansion
A1 Allahviranloo, Tofigh
A1 Noeiaghdam, Zahra
A1 Noeiaghdam, Samad
A1 Nieto Roig, Juan José
K1 Fuzzy fractional differential equations
K1 Generalized fuzzy Taylor expansion
K1 Generalized fuzzy Euler’s method
K1 Global truncation error
K1 Local truncation error
K1 Convergence
K1 Stability
AB In this field of research, in order to solve fuzzy fractional differential equations, they are normally transformed to their corresponding crisp problems. This transformation is called the embedding method. The aim of this paper is to present a new direct method to solve the fuzzy fractional differential equations using fuzzy calculations and without this transformation. In this work, the fuzzy generalized Taylor expansion by using the sense of fuzzy Caputo fractional derivative for fuzzy-valued functions is presented. For solving fuzzy fractional differential equations, the fuzzy generalized Euler’s method is introduced and applied. In order to show the accuracy and efficiency of the presented method, the local and global truncation errors are determined. Moreover, the consistency, convergence, and stability of the generalized Euler’s method are proved in detail. Eventually, the numerical examples, especially in the switching point case, show the flexibility and the capability of the presented method
PB MDPI
YR 2020
FD 2020
LK http://hdl.handle.net/10347/24014
UL http://hdl.handle.net/10347/24014
LA eng
NO Allahviranloo, T.; Noeiaghdam, Z.; Noeiaghdam, S.; Nieto, J.J. A Fuzzy Method for Solving Fuzzy Fractional Differential Equations Based on the Generalized Fuzzy Taylor Expansion. Mathematics 2020, 8, 2166
NO The work of J.J. Nieto has been partially supported by Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER, and XUNTA de Galicia under grants GRC2015-004 and ED431C 2019/02
DS Minerva
RD 28 abr 2026