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Neutrix product of two distributions using fractional differentiation. (English) Zbl 1225.46036

Summary: The author defines the product of two distributions and proves the Leibniz rule for fractional derivatives in the neutrix limit. He also obtains an expression for the product of an arbitrary distribution with Dirac-delta function in the neutrix limit and discusses a few particular cases.

MSC:

46F10 Operations with distributions and generalized functions
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