@article { author = {Zeinali, Masoumeh}, title = {The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space}, journal = {Computational Methods for Differential Equations}, volume = {5}, number = {3}, pages = {232-245}, year = {2017}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {}, abstract = {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.}, keywords = {Implicit fuzzy integro-differential equation,Semilinear Banach space,Schauder fixed point theorem,Generalized differentiability}, url = {https://cmde.tabrizu.ac.ir/article_6280.html}, eprint = {https://cmde.tabrizu.ac.ir/article_6280_4f3906a00a160ec0367009ea7c9e91eb.pdf} }