TY - JOUR
ID - 6280
TI - The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Zeinali, Masoumeh
AD - Faculty of mathematical sciences, University of Tabriz, Tabriz, Iran
Y1 - 2017
PY - 2017
VL - 5
IS - 3
SP - 232
EP - 245
KW - Implicit fuzzy integro-differential equation
KW - Semilinear Banach space
KW - Schauder fixed point theorem
KW - Generalized differentiability
DO -
N2 - In this paper, the existence and uniqueness of the solution of a nonlinear fully fuzzy implicit integro-differential equation arising in the field of fluid mechanics is investigated. First, an equivalency lemma is presented by which the problem understudy is converted to the two different forms of integral equation depending on the kind of differentiability of the solution. Then, the conditions required to guarantee the existence of a solution for the equivalent integral equation are investigated using the Schauder fixed point theorem in semilinear Banach space.
UR - https://cmde.tabrizu.ac.ir/article_6280.html
L1 - https://cmde.tabrizu.ac.ir/article_6280_4f3906a00a160ec0367009ea7c9e91eb.pdf
ER -