General Solution for Fuzzy Linear Second Order Differential Equation Using First Solution

Theory of Approximation and Applications

مقاله 6، دوره 12، شماره 1، مرداد 2018، صفحه 77-91   

نوع مقاله: Research Articles

نویسنده

Laleh Hooshangian^*

Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran.

چکیده

The fuzzy linear second order equations with fuzzy initial values are investigated
in this paper. The analytic general solution solutions of them using
a rst solution is founded. The parametric form of fuzzy numbers is applied
to solve the second order equations. General solutions for fuzzy linear second
order equations with fuzzy initial values are investigated and formulated
in four cases. A example is solved to illustrate method better and solutions
are searched in four cases under Hakuhara derivation. Finally the solutions of
example are shown in gures for four cases.

کلیدواژه‌ها

Linear differential equation؛ Fuzzy initial values؛ First solution؛ General solution

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