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On some fractional differential equations with constant coefficients

✍ Scribed by T. Miyakoda


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
185 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis


In this paper, some nonhomogeneous fractional differential equations which have constant coefficients are treated by means of (\mathrm{N})-fractional calculus.


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## a b s t r a c t We consider the Cauchy problem for an abstract stochastic delay differential equation driven by fractional Brownian motion with the Hurst parameter H > 1 2 . We prove the existence and uniqueness for this problem, when the coefficients have enough regularity, the diffusion coeffi