Fractional derivatives of Colombeau generalized stochastic processes defined on R+
2011 ◽
Vol 5
(2)
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pp. 283-297
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Keyword(s):
We consider Caputo and Riemann-Liouville fractional derivatives of a Colombeau generalized stochastic process G defined on R+. We give proper definitions and prove that both are Colombeau generalized stochastic processes themselves. We also give a solution to a certain Cauchy problem illustrating the application of the theory. 2000 Mathematics Subject Classification: 46F30, 60G20, 60H10, 26A33
Keyword(s):
2020 ◽
Vol 23
(6)
◽
pp. 1797-1809
2014 ◽
Vol 2014
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pp. 1-7
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