regularized fractional derivatives in colombeau algebra
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abstract
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 nonlinear heatequation illustrating the application of the theory.
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Journal title:
international journal of nonlinear analysis and applicationsPublisher: semnan university
ISSN
volume 7
issue 1 2015
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