Results 141 to 150 of about 31,295 (230)
Fractional stochastic heat equation with mixed operator and driven by fractional-type noise
AIMS MathematicsWe investigated a novel stochastic fractional partial differential equation (FPDE) characterized by a mixed operator that integrated the standard Laplacian, the fractional Laplacian, and the gradient operator.
Mounir Zili +2 more
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A Comparison of Skeletal Muscle Diffusion Tensor Imaging Tractography Seeding Methods
NMR in Biomedicine, Volume 38, Issue 12, December 2025.Diffusion‐tensor imaging (DTI) fiber tracking can be used to quantify skeletal muscle architecture, allowing studies of muscle structure‐function relationships. However, the options for defining the seed points (starting points for integrating the first eigenvector of the diffusion tensor) to form the fiber tracts have not been evaluated.
Bruce M. Damon +3 more
wiley +1 more source
Momentum transforms and Laplacians in fractional spaces [PDF]
, 2012 Gianluca Calcagni, Giuseppe Nardelli
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Cell lineage tracing: Methods, applications, and challenges
Quantitative Biology, Volume 13, Issue 4, December 2025.Abstract Cell lineage tracing is a crucial technique for understanding cell fate and lineage relationships, with wide applications in developmental biology, tissue regeneration, and disease progression studies. Over the years, experimental cell lineage tracing methods have advanced from early labeling techniques to modern genetic tools such as CRISPR ...
Shanjun Mao +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 We study the fractional elliptic equation $$\displaylines{ (-\Delta)^{1/2} u = \lambda u+|u|^{p-2}ue^{u^2} ,\quad\text{in } (-1,1),\cr u=0\quad\text{in } \mathbb{R}\setminus(-1,1), }$$ where $\lambda$ is a positive real parameter, p>2 and $(-\Delta)^
Pawan Kumar Mishra, Konijeti Sreenadh
doaj
Null controllability from the exterior of fractional parabolic-elliptic coupled systems
Electronic Journal of Differential Equations, 2020 We analyze the null controllability properties from the exterior of two parabolic-elliptic coupled systems governed by the fractional Laplacian $(-d_x^2)^s$, $s\in(0,1)$, in one space dimension.
Carole Louis-Rose
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Comparison results and steady states for the Fujita equation with fractional Laplacian
, 2003 Matthias Birkner +2 more
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The Neumann condition for the superposition of fractional Laplacians
ESAIM: Control, Optimisation and Calculus of VariationsWe present a new functional setting for Neumann conditions related to the superposition of (possibly infinitely many) fractional Laplace operators. We will introduce some bespoke functional framework and present minimization properties, existence and uniqueness results, asymptotic formulas, spectral analyses, rigidity results, integration by parts ...
Serena Dipierro +3 more
openaire +2 more sources
Quantitative Biology, Volume 13, Issue 4, December 2025.Abstract Recent advancements in spatial transcriptomics (ST) technologies allow researchers to simultaneously measure RNA expression levels for hundreds to thousands of genes while preserving spatial information within tissues, providing critical insights into spatial gene expression patterns, tissue organization, and gene functionality.
Catherine Higgins +2 more
wiley +1 more source
Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator
Journal of New TheoryThis study delves into the investigation of positive solutions for a specific class of $\aleph$-Caputo fractional boundary value problems with the inclusion of the p-Laplacian operator. In this research, we use the theory of the fixed point theory within
Özlem Batit Özen
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