A new general fractional-order derivataive with Rabotnov fractional-exponential kernel applied to model the anomalous heat transfer [PDF]
In this paper, we consider a general fractional-order derivataive of the Liouville-Caputo type with the non-singular kernel of the Rabotnov fractional-exponential function for the first time. A new general fractional-order derivataive heat transfer model
Xiao-jun Yang, M. Abdel-Aty, C. Cattani
semanticscholar +2 more sources
Soliton fermionic number from the heat kernel expansion [PDF]
We consider different methods of calculating the (fractional) fermion number of solitons based on the heat kernel expansion. We derive a formula for the localized $$\eta $$ η function that provides a more systematic version of the derivative expansion ...
A. Alonso-Izquierdo +3 more
doaj +2 more sources
Heat treatment could affect the structure and properties of rice varieties. The present study was conducted in order to determine the effects of heat treatment on the physicochemical properties and tissue structure of Mahsuri Mutan, Basmati 370 and MR219
Anna Arina Bt Ab. Halim +4 more
doaj +1 more source
Value of first eigenvalue of some minimal hypersurfaces embedded in the unit sphere
We prove that the first nonzero eigenvalue of the Laplace-Beltrami operator of equator-like minimal submanifold embedded in the sphere $ S^{n+1} $ is equal to $ n $.
Ibrahim Aldayel
doaj +1 more source
Geometric Deep Learning for Protein–Protein Interaction Predictions
This work introduces novel approaches, based on geometrical deep learning, for predicting protein–protein interactions. A dataset containing both interacting and non-interacting proteins is selected from the Negatome Database.
Gabriel St-Pierre Lemieux +3 more
doaj +1 more source
Efficient Estimation of Heat Kernel PageRank for Local Clustering [PDF]
Given an undirected graph G and a seed node s, the local clustering problem aims to identify a high-quality cluster containing s in time roughly proportional to the size of the cluster, regardless of the size of G.
Renchi Yang +5 more
semanticscholar +1 more source
Convergence of approximate solutions by heat kernel for transport-diffusion equation in a half-plane [PDF]
In this paper, by using the heat kernel and the transport operator on each step of time discretization, approximate solutions for the transport-diffusion equation on the half-plane+2are constructed, and their convergence to a function which satisfies the
Meryem Aouaouda +2 more
doaj +1 more source
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model [PDF]
In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve the fractional heat transfer model.
A. Atangana, D. Baleanu
semanticscholar +1 more source
Heat kernel coefficients on the sphere in any dimension [PDF]
We derive all heat kernel coefficients for Laplacians acting on scalars, vectors, and tensors on fully symmetric spaces, in any dimension. Final expressions are easy to evaluate and implement, and confirmed independently using spectral sums and the Euler–
Yannick Kluth, D. Litim
semanticscholar +1 more source
Connecting quasinormal modes and heat kernels in 1-loop determinants
We connect two different approaches for calculating functional determinants on quotients of hyperbolic spacetime: the heat kernel method and the quasinormal mode method.
Cynthia Keeler, Victoria L. Martin, Andrew Svesko
doaj +1 more source

