کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900693 1631718 2018 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some notes on properties of the matrix Mittag-Leffler function
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some notes on properties of the matrix Mittag-Leffler function
چکیده انگلیسی
We have come across with publications where some properties of the matrix exponential were incorrectly extended to the matrix Mittag-Leffler function, and then used as a key tool to solve certain linear matrix fractional differential equations. The main purpose of these notes is to give some clarifications on properties of the matrix Mittag-Leffler function, by explaining in detail why some identities do not hold and by providing a list of (valid) properties of this function. A sufficient condition to identify very special cases of pairs of matrices satisfying the semigroup property is given as well as examples illustrating the results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 338, 1 December 2018, Pages 733-738
نویسندگان
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