(Weighted pseudo) almost automorphic solutions in distribution for fractional stochastic differential equations driven by Lévy noise
Filomat, Tome 35 (2021) no. 7, p. 2403
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In this paper, by using contraction principle, fractional calculus and stochastic analysis, we study the existence and uniqueness of (weighted pseudo) almost automorphic solutions in distribution for fractional stochastic differential equations driven by Lévy noise. An example is presented to illustrate the application of the abstract results
Classification :
34A08, 34K14, 60H05, 60G51
Keywords: Fractional stochastic differential equations, (Weighted pseudo) almost automorphic solutions in distribution, Sectorial operator, Lévy noise
Keywords: Fractional stochastic differential equations, (Weighted pseudo) almost automorphic solutions in distribution, Sectorial operator, Lévy noise
Min Yang. (Weighted pseudo) almost automorphic solutions in distribution for fractional stochastic differential equations driven by Lévy noise. Filomat, Tome 35 (2021) no. 7, p. 2403 . doi: 10.2298/FIL2107403Y
@article{10_2298_FIL2107403Y,
author = {Min Yang},
title = {(Weighted pseudo) almost automorphic solutions in distribution for fractional stochastic differential equations driven by {L\'evy} noise},
journal = {Filomat},
pages = {2403 },
year = {2021},
volume = {35},
number = {7},
doi = {10.2298/FIL2107403Y},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107403Y/}
}
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