Analytic Solution of Fuzzy Second Order Differential Equations under H-Derivation

Subject Areas : Applied Mathematics

Laleh Hooshangian ¹ (Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran.)

Received: 2016-03-14 Accepted : 2017-04-22 Published : 2017-05-01

Keywords: Fuzzy initial values, H-derivations, General solution, Second order equation,

Abstract :

In this paper, the solution of linear second order equations with fuzzy initialvalues are investigated. The analytic general solutions of them using a rstsolution is founded. The parametric form of fuzzy numbers to solve the secondorder equations is applied. The solutions are searched in four cases. Finallythe example is got to illustrate more and the solutions are shown in gures forfour cases.