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a study on analytical solutions of the fuzzy partial differential equations
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نویسنده
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ghasemi moghaddam r. ,abbasbandy s. ,rostamy-malkhalifeh m.
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منبع
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international journal of industrial mathematics - 2020 - دوره : 12 - شماره : 4 - صفحه:419 -429
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چکیده
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In the present paper, we obtain the traveling wave fuzzy solution for the fuzzy linear transport equation and the fuzzy wave equation by considering the type of generalized hukuhara differentiability. the d'alembert's formulas for the fuzzy wave equation obtained by considering the type of gh- differentiability of the solution. also, the existence and the uniqueness of these solutions and the stability of the fuzzy wave equation are shown. furthermore, some examples are solved to illustrate the technique.
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کلیدواژه
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linear fuzzy transport equation; the fuzzy wave equation; traveling wave fuzzy solution;d'alembert's formula; generalized partial hukuhara differentiability
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آدرس
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islamic azad university, tehran science and research branch, department of mathematics, iran, imam khomeini international university, faculty of science, department of applied mathematics, iran, islamic azad university, tehran science and research branch, department of mathematics, iran
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Authors
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