حل مسائل مقدار اولیه کوشی – اویلر فازی مرتبه دوم تحت مشتق پذیری توسعه یافته

Subject Areas : International Journal of Industrial Mathematics

مهران چهلابی ¹

1 - گروه ریاضی، واحد سوادکوه، دانشگاه آزاد اسلامی، سوادکوه، ایران.

Received: 2021-01-21 Accepted : 2021-06-25 Published : 2022-01-01

Keywords: معادلات کوشی-اویلر, معادلات دیفرانسیل فازی, معادلات دیفرانسیل, مشتق پذیری توسعه یافته,

Abstract :

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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