New definition of fractional derivative included Mittag-Leffler function of conformable type
عنوان مقاله: New definition of fractional derivative included Mittag-Leffler function of conformable type
شناسه ملی مقاله: JR_JMCS-5-2_002
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_JMCS-5-2_002
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Reza Danaei - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
خلاصه مقاله:
Reza Danaei - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
In this paper a new definitionn of fractional derivative and fractional integral in the sense ofconformable derivative type is presented. This form of definition shows that it is more compatible withclassical natural definition of derivative and is more convinient fractional derivative one. We will definethis for ۰ ≤ α < ۱ and n − ۱ ≤ α < n and further, if α = ۱ the definition coincides with the classicaldefinition of derivative of first order.
کلمات کلیدی: Mittag-Leffler function, fractional derivative, conformable derivative
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2029042/