TY - JOUR
ID - 9939
TI - First order linear fuzzy differential equations with fuzzy variable coefficients
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Alikhani, Robab
AU - Mostafazadeh, Mahdi
AD - Faculty of Mathematical science,
University of Tabriz, Tabriz, Iran.
Y1 - 2021
PY - 2021
VL - 9
IS - 1
SP - 1
EP - 21
KW - First order linear fuzzy differential equations
KW - Fuzzy variable coefficients
KW - Fuzzy initial value problem
KW - The cross product of fuzzy numbers
DO - 10.22034/cmde.2020.34127.1568
N2 - In this study, we investigate the first order linear fuzzy differential equations with fuzzy variable coefficients. Appearance of the multiplication of a fuzzy variable coefficient by an unknown fuzzy function in linear differential equations persuades us to employ the concept of the cross product of fuzzy numbers. Mentioned product overcomes to some difficulties we face to in the case of the usual product obtained by Zadehâ€™s extension principle. Under the cross product, we obtain the explicit fuzzy solutions for a fuzzy initial value problem applying the concept of the strongly generalized differentiability. Finally, some examples are given to illustrate the theoretical results. The obtained numerical results are compared with other approaches in the literature for similar parameters.
UR - https://cmde.tabrizu.ac.ir/article_9939.html
L1 - https://cmde.tabrizu.ac.ir/article_9939_5a4ede5c8703c2914d4cb588d3f27dff.pdf
ER -