Regularized fractional derivatives in Colombeau algebra
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نویسنده
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alimohammady m. ,fattahi f.
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منبع
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international journal of nonlinear analysis and applications - 2016 - دوره : 7 - شماره : 1 - صفحه:279 -287
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چکیده
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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.
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کلیدواژه
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Colombeau algebra; Caputo fractional derivative; Riesz fractional derivative
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آدرس
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university of mazandaran, department of mathematics, ایران, university of mazandaran, department of mathematics, ایران
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