Results 21 to 30 of about 205,651 (167)
In this paper, we consider a time-dependent diffusion problem with two-sided Riemann-Liouville fractional derivatives. By introducing a fractional-order flux as auxiliary variable, we establish the saddle-point variational formulation, based on which we ...
Qiong Yuan, Huanzhen Chen
doaj +1 more source
In option pricing models with correlated stochastic processes, an option premium is commonly a solution to a partial differential equation (PDE) with mixed derivatives in more than two space dimensions.
Yusho Kagraoka
doaj +1 more source
Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions
The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet ...
Jean-Daniel Djida, Arran Fernandez
doaj +1 more source
Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
We obtain new sharp Kolmogorov type inequalities, estimating the norm of mixed Marchaud type derivative of multivariate function through the C-norm of function itself and its norms in Hölder spaces.
N.V. Parfinovych, V.V. Pylypenko
doaj +1 more source
Carroll covariant scalar fields in two dimensions
Conformal Carroll symmetry generically arises on null manifolds and is important for holography of asymptotically flat spacetimes, generic black hole horizons and tensionless strings.
Arjun Bagchi +4 more
doaj +1 more source
On estimates of M-term approximations of the Sobolev class in the Lorentz space
In the paper spaces of periodic functions of several variables were considered, namely the Lorentz space L2,τ(Tm), the class of functions with bounded mixed fractional derivative Wr2,τ, 1 ≤ τ < ∞, and the order of the best M-term approximation of a ...
Г. Акишев +1 more
doaj +1 more source
Limited to the low spatial resolution of the hyperspectral imaging sensor, mixed pixels are inevitable in hyperspectral images. Therefore, to obtain the endmembers and corresponding fractions in mixed pixels, hyperspectral unmixing becomes a hot spot in ...
Yang Shao, Jinhui Lan
doaj +1 more source
We find exact solutions of the Generalized Modified Boussinesq (GMB) equation, the Kuromoto-Sivashinsky (KS) equation the and, Camassa-Holm (CH) equation by utilizing the double reduction theory related to conserved vectors. The fourth order GMB equation
Zulfiqar Ali, Syed Husnine, Imran Naeem
doaj +1 more source
Equivalent Characterization on Besov Space
In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm.
Cong He, Jingchun Chen
doaj +1 more source
In this paper, we study a nonlinear Riemann-Liouville fractional a q-difference system with multi-strip and multi-point mixed boundary conditions under the Caputo fractional q-derivative, where the nonlinear terms contain two coupled unknown functions ...
Yuan Meng +3 more
doaj +1 more source

