Solving Second-Order Fuzzy Cauchy-Euler Initial Value Problems Under Generalized Differentiability
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
M. Chehlabi
1
(
Department of Mathematics, Savadkooh Branch, Islamic Azad University, Savadkooh, Iran.
)
کلید واژه: Generalized differentiability, Fuzzy differential equations, Cauchy-Euler equations, Differential Equations,
چکیده مقاله :
In this paper, we study a class of second-order fuzzy initial value problems that are known as the Cauchy-Euler differential equations, in the crisp case. This work begins by studying the structure of solution function in the crisp case and providing a requirement space of the generalized differentiable functions. In sequel, the process of production and construction of the solution formula are discussed, in details. Finally, the obtained formulas are applied and illustrated by solving some examples.
در این مقاله، ما یک کلاس از مسائل مقداراولیه فازی مرتبه دوم که در حالت معمول، به معادلات دیفرانسیل کوشی-اویلر معروف هستند، را مطالعه می کنیم. این کار با مطالعه کردن ساختار تابع جواب در حالت معمول و فراهم کردن فضایی مطلوب از توابع مشتق پذیر توسعه یافته، آغاز می شود. در ادامه، فرایند تولید و ساخت فرمول های جواب همراه با جزئیات بحث شده است. در نهایت، بوسیله حل چند مثال، فرمول های یافت شده، مورد استفاده قرار گرفته و تشریح شده اند.
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