Results 71 to 80 of about 393,013 (283)
On the fractional Laplacian of a function with respect to another function
Mathematical methods in the applied sciencesThe theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function.
A. Fernandez, J. Restrepo, J. Djida
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Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography [PDF]
Inverse Problems, 2019 In this work we consider a generalized bilevel optimization framework for solving inverse problems. We introduce fractional Laplacian as a regularizer to improve the reconstruction quality, and compare it with the total variation regularization.
Harbir Antil, Z. Di, R. Khatri
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Advances in Continuous and Discrete ModelsIn this paper, we study the solvability and generalized Ulam–Hyers (UH) stability of a nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian operator and impulses.
Kaihong Zhao
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Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian
Advanced Nonlinear Studies, 2020 In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P. +3 more
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IEEE Access, 2019 Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang +3 more
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A pointwise inequality for fractional laplacians
Advances in Mathematics, 2015 The fractional laplacian is an operator appearing in several evolution models where diffusion coming from a L vy process is present but also in the analysis of fluid interphases. We provide an extension of a pointwise inequality that plays a r le in their study. We begin recalling two scenarios where it has been used.
Cordoba Barba, Antonio +1 more
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AIMS Mathematics, 2023 In this manuscript, the main objective is to analyze the existence, uniqueness, (EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary
Kirti Kaushik +3 more
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Aggregate, EarlyView.GED‐CRN: A Machine Learning Framework for Predicting Electron Density Distributions from Molecular Geometries via a Cube‐Sampling Approach. ABSTRACT We present GED‐CRN, a 3D convolutional residual network that achieves quantum‐chemical accuracy (MAE =7.6×10−4$= 7.6 \times 10^{-4}$ bohr−3${\rm bohr}^{-3}$) in predicting electron densities for AIE‐active
Junyi Gong +4 more
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Mathematics, 2023 The study of variable order differential equations is important in science and engineering for a better representation and analysis of dynamical problems. In the literature, there are several fractional order operators involving variable orders.
H. Khan +4 more
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