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The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 5، شماره 3، مهر 2017، صفحه 232-245 اصل مقاله (298.5 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| Masoumeh Zeinali* | ||
| Faculty of mathematical sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Implicit fuzzy integro-differential equation؛ Semilinear Banach space؛ Schauder fixed point theorem؛ Generalized differentiability | ||
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