Regularized fractional derivatives in Colombeau algebra
نویسندگان
چکیده مقاله:
The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to a nonlinear heat equation illustrating the application of the theory.
منابع مشابه
regularized fractional derivatives in colombeau algebra
the present study aims at indicating the existence and uniqueness result of system in extended colombeaualgebra. the caputo fractional derivative is used for solving the system of odes. in addition, rieszfractional derivative of colombeau generalized algebra is considered. the purpose of introducing rieszfractional derivative is regularizing it in colombeau sense. we also give a solution to a n...
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عنوان ژورنال
دوره 7 شماره 1
صفحات 279- 287
تاریخ انتشار 2016-02-18
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