Results 41 to 50 of about 24,170,313 (193)
Journal of Function Spaces, 2021 In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied.
Yating Guo, Guoju Ye
doaj +1 more source
Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
Advanced Intelligent Discovery, EarlyView.Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong +5 more
wiley +1 more source
On the fractional Laplacian and nonlocal operators [PDF]
, 2018 The aim of this work is to study certain type of operators that have adquired a renewed relevance in the last decade. This wide class of operators, genericaly called nonlocal operators, appears naturally in many applications in physics, probability ...
Restrepo Montoya, Daniel Eduardo
core
On a coupled system of fractional sum-difference equations with p-Laplacian operator
Advances in Difference Equations, 2020 In this paper, we propose a nonlocal fractional sum-difference boundary value problem for a coupled system of fractional sum-difference equations with p-Laplacian operator. The problem contains both Riemann–Liouville and Caputo fractional difference with
Pimchana Siricharuanun +2 more
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Assessment of Gibbs Free Energy Calculation in PI‐Controlled Heating
Chemie Ingenieur Technik, EarlyView.For description and control of chemical processes in lab or industry thermodynamic variable Gibbs free energy provides opportunity to compare and interpret phenomena, even on a quantitative level. In a case study for PI‐controlled heating, impacts on its limits from control delay until parameter quantization are highlighted and assessed.
Jannik Dutschke +4 more
wiley +1 more source
On the Design of a Class of Analog Filters Whose Impulse Response Is a Mittag‐Leffler Function
International Journal of Circuit Theory and Applications, EarlyView.Fractional‐order filters whose impulse response is a Mittag‐Leffler (M‐L) function in any of its known forms are summarized in this work. Simulation results using Cadence and experimental results using an FPAA validate the introduced concept. ABSTRACT Fractional‐order filters whose impulse response is a Mittag‐Leffler (M‐L) function in any of its known
Julia Nako +3 more
wiley +1 more source
Abstract and Applied Analysis, 2014 We are concerned with the uniqueness of solutions for a class of p-Laplacian fractional order nonlinear systems with nonlocal boundary conditions.
Jun-qi He, Xue-li Song
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Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
Advances in Difference Equations, 2021 The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of
Jufang Wang +3 more
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, EarlyView.ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source