Solution of the first order fuzzy differential equations with generalized differentiability

Subject Areas : Ordinary differential equations

L. Jamshidi ¹ , T. Allahviranloo ²

1 - Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
2 - Department of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , Iran

Received: 2014-10-12 Accepted : 2014-12-25 Published : 2014-12-29

Keywords: Exponent matrix, Generalized differentiability, First order fuzzy differential equations, Fuzzy linear differential equations,

Abstract :

In this paper, we study first order linear fuzzy differential equations with fuzzycoefficient and initial value. We use the generalized differentiability concept and apply theexponent matrix to present the general form of their solutions. Finally, one example is givento illustrate our results.

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