Author/Authors :
abbasbandy، S نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran , , allahviranloo، T نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran , , Shahriary، M نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran , , Salahshour، S نويسنده Young Researchers Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh ,
Abstract :
در اين مقاله يك نوع جديد از معادلات ديفرانسيل فازي تحت مشتق كسري محلي Kolwankar- Gangal با استفاده از مشتق پذيري فازي ريمان-ليويول پيشنهاد مي كنيم. سپس تعدادي از نتايج پايه اي را اثبات مي كنيم به عنوان مثال رابطه بين اين مشتق كسري و نمايش برشي آن و تركيب مشتق كسري و انتگرال كسري فازي. همچنين يك كاربرد با جزييات آورده شده است به گونه اي كه جواب هاي صريح بر اساس تابع Mittag-Leffler بيان شده است.
Abstract :
In this paper, we propose a new type of fuzzy fractional differential equations under fuzzy
Kolwankar- Gangal local fractional derivatives (for short, fuzzy KG-LFD) using fuzzy
Riemann-Liouville differentiability. Then, we prove some basic results in this area like,
the relation between different types of fuzzy KG-LFD and their r-cut representations, composition
of the fuzzy KG-LFD and the fuzzy local fractional integral. Also, an application
is provided in details such that the explicit solutions are expressed through Mittag-Leffler
function.
