Geodesic
Exponential stability of second-order fractional stochastic integro-differential equations
Filomat, Tome 37 (2023) no. 9, p. 2699

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DOI

In this paper studies the exponential stability result is derived for the second-order fractional stochastic integro-differential equations (FSIDEs) driven by sub-fractional Brownian motion (sub-fBm). By constructing a successive approximation method, we present p th moment exponential stability result of second-order FSIDEs using stochastic analysis techniques and fractional calculus (FC). At last, an example is demonstrated to illustrate the obtained theoretical result.
DOI : 10.2298/FIL2309699D
Classification : 26A33, 34A08, 35H15, 34K50, 47H10, 60H10
Keywords: Exponential stability, Mild solution, Sub-fBm, Successive approximation method 
K Dhanalakshmi; P Balasubramaniam. Exponential stability of second-order fractional stochastic integro-differential equations. Filomat, Tome 37 (2023) no. 9, p. 2699 . doi: 10.2298/FIL2309699D
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     title = {Exponential stability of second-order fractional stochastic integro-differential equations},
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     pages = {2699 },
     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2309699D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2309699D/}
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