Title of article
Fuzzy Local Fractional Differential Equations
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 ,
Issue Information
فصلنامه با شماره پیاپی 0 سال 2012
Pages
16
From page
231
To page
246
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.
Journal title
International Journal of Industrial Mathematics(IJIM)
Serial Year
2012
Journal title
International Journal of Industrial Mathematics(IJIM)
Record number
680548
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