Analysis of variational inequalities with fractional curvilinear integral functionals
Results in Applied MathematicsThis study examines weak sharp solutions for a category of variational inequalities incorporating functionals based on fractional curvilinear integrals, expanding the conventional approach with concepts from fractional calculus. Furthermore, by using the
Octavian Postavaru +2 more
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A PROPERTY OF BICRITERIA AFFINE VECTOR VARIATIONAL INEQUALITIES
Tạp chí Khoa học Đại học Đà Lạt, 2012 By a scalarization method, it is proved that both the Pareto solution set and the weak Pareto solution set of a bicriteria affine vector variational inequality have finitely many connected. components provided that a regularity condition is satisfied. An
Nguyễn Thị Thu Hương +3 more
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Variational Inequalities for the Fractional Laplacian [PDF]
Potential Analysis, 2016 19 ...
MUSINA, Roberta +2 more
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On Nonlocal Variational and Quasi-Variational Inequalities with Fractional Gradient [PDF]
Applied Mathematics & Optimization, 2019 We extend classical results on variational inequalities with convex sets with gradient constraint to a new class of fractional partial differential equations in a bounded domain with constraint on the distributional Riesz fractional gradient, the $σ$-gradient ...
Rodrigues, José Francisco, Santos, Lisa
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Fractional Backward Stochastic Differential Equations and Fractional Backward Variational Inequalities [PDF]
Journal of Theoretical Probability, 2013 41 ...
Maticiuc, Lucian, Nie, Tianyang
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Variational inequalities for the spectral fractional Laplacian [PDF]
Computational Mathematics and Mathematical Physics, 2017 20 ...
MUSINA, Roberta, Nazarov, Alexander I.
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A new class of fractional impulsive differential hemivariational inequalities with an application
Nonlinear Analysis, 2022 We consider a new fractional impulsive differential hemivariational inequality, which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework.
Yun-hua Weng +3 more
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Image Restoration with Fractional-Order Total Variation Regularization and Group Sparsity
Mathematics, 2023 In this paper, we present a novel image denoising algorithm, specifically designed to effectively restore both the edges and texture of images. This is achieved through the use of an innovative model known as the overlapping group sparse fractional-order
Jameel Ahmed Bhutto +2 more
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An approach to elliptic equations with nonlinear gradient terms via a modulation framework
Bulletin of Mathematical Sciences, 2023 We consider a class of nonhomogeneous elliptic equations with fractional Laplacian and nonlinear gradient terms, namely [Formula: see text] in [Formula: see text], where [Formula: see text], [Formula: see text] is the nonlinearity, [Formula: see text ...
Lucas C. F. Ferreira, Wender S. Lagoin
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
Nonlinear Analysis, 2021 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
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