University of TabrizComputational Methods for Differential Equations2345-39825320170701The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space2322456280ENMasoumehZeinaliFaculty of mathematical sciences, University of Tabriz, Tabriz, IranJournal Article20170223In this paper, the existence and uniqueness of the solution of a nonlinear fully fuzzy implicit integro-differential equation<br /> 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.https://cmde.tabrizu.ac.ir/article_6280_4f3906a00a160ec0367009ea7c9e91eb.pdf