We investigate the regularizing effect of certain additive continuous perturbations on SDEs with multiplicative fractional Brownian motion (fBm). Traditionally, a Lipschitz requirement drift and diffusion coefficients is imposed to ensure existence uniqueness SDE. show that suitable restore existence, regularity flow for resulting equation, even when both are distributional, thus extending prog...

We study the spatial distributions of two randomly interacting species, in the presence of an external multiplicative colored noise. The dynamics of the ecosystem is described by a coupled map lattice model. We find a nonmonotonic behavior in the formation of large scale spatial correlations as a function of the multiplicative colored noise intensity. This behavior is shifted towards higher val...

The presence of multiplicative noise can alter measurements of forces acting on nanoscopic objects. Taking into account of multiplicative noise, we derive a series of nonequilibrium thermodynamical equalities as generalization of the Jarzynski equality, the detailed fluctuation theorem and the Hatano-Sasa relation. Our result demonstrates that the Jarzynski equality and the detailed fluctuation...

A new similarity measure and nonlocal filters for images corrupted by multiplicative noise are presented. The considered filters are generalizations of the nonlocal means filter of Buades et al., which is known to be well suited for removing additive Gaussian noise. To adapt this filter to different noise models, the involved patch comparison has first of all to be performed by a suitable noise...

This research studied the effect of additive and multiplicative noise in images, and their solution. Salt n pepper, and Gaussian noise is considered as a additive noise, while impulsive noise is considered as a multiplicative noise. For additive noise, this paper presents the outcome of Wiener filter, and Pseudo inverse filter, while for impulsive noise, we studied wavelet denoising. A hybrid f...

Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift in Hilbert spaces are considered‎. ‎The coefficients are assumed to have linear growth‎. ‎We do not impose coercivity conditions on coefficients‎. ‎A novel method of proof for establishing existence and uniqueness of the mild solution is proposed‎. ‎Examples on stochastic partial differentia...