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 Zadeh’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 -