fractional measure
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2019 ◽  
Vol 2019 (21) ◽  
pp. 7419-7423
Author(s):  
Alexander A. Potapov ◽  
Vitaly A. German ◽  
Andrey A. Pakhomov ◽  
Vladimir I. Grachev ◽  
Wei Zhang ◽  
...  

2018 ◽  
Vol 5 (1) ◽  
pp. 59-75 ◽  
Author(s):  
Mark A. McKibben ◽  
Micah Webster

Abstract This paper focuses on a nonlinear second-order stochastic evolution equations driven by a fractional Brownian motion (fBm) with Poisson jumps and which is dependent upon a family of probability measures. The global existence of mild solutions is established under various growth conditions, and a related stability result is discussed. An example is presented to illustrate the applicability of the theory.


2010 ◽  
Vol 50 (1) ◽  
pp. 33-40 ◽  
Author(s):  
Jaroslav Hančl ◽  
Tapani Matala-aho ◽  
Simona Pulcerová

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