In this paper we consider a class of {\it conditional McKean-Vlasov SDEs} (CMVSDE for short). Such an SDE can be considered as extended version SDEs with common noises, well the general so-called mean-field (CMFSDE) studied previously by authors [1, 14], but some fundamental differences. particular, due to lack compactness iterated laws, existing arguments Schauder's fixed point theorem do not ...

We consider relativistic quantum field theory in the presence of an external electric potential a general curved space-time geometry. utilise Fermi coordinates adapted to time-like geodesic describe low-energy physics laboratory and calculate leading correction due curvature geometry Schr\"odinger equation. then compute non-vanishing probability excitation for hydrogen atom that falls or is sca...

In this paper, the Elzaki transform method is used for solving two-dimensional (2D) elasticity problems in plane polar coordinates. Airy stress function was used to express the stress compatibility equation as a biharmonic equation. Elzaki transform was applied with respect to the radial coordinate to a modified form of the stress compatibility equation, and the biharmonic equation simplified t...

in this paper, changes of casson non-newtonian fluid velocity profile, for different distribution of porosity, have been investigated. for distribution of porosity, fixed, radial and exponential variations has been considered. for all three states, brinkman model has been used as momentum equation. since the casson fluid is a good model for blood, this analysis can be used in studying about cho...

A solution of two problems related to the matrix equation of Sylvester type is given. In the first problem, the procedures for linear matrix inequalities are used to construct the solution of this equation. In the second problem, when a matrix is given which is not a solution of this equation, it is required to find such solution of the original equation, which most accurately approximates the ...