Results 11 to 20 of about 496 (271)

Fractional elliptic quasi-variational inequalities: Theory and numerics [PDF]

open access: yesInterfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, 2018
This paper introduces an elliptic quasi-variational inequality (QVI) problem class with fractional diffusion of order s∈(0,1), studies existence and uniqueness of solutions and develops a solution algorithm.
Harbir Antil   +3 more
core   +4 more sources

Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity [PDF]

open access: yesYugoslav Journal of Operations Research, 2009
The necessary conditions for (normal) efficient solutions to a class of multi-objective fractional variational problems (MFP) with nonlinear equality and inequality constraints are established using a parametric approach to relate efficient solutions of ...
Mititelu Ştefan, Stancu-Minasian I.M.
doaj   +2 more sources

Optimal control for obstacle problems involving time-dependent variational inequalities with Liouville–Caputo fractional derivative

open access: yesAdvances in Difference Equations, 2021
We consider an optimal control problem for a time-dependent obstacle variational inequality involving fractional Liouville–Caputo derivative. The obstacle is considered as the control, and the corresponding solution to the obstacle problem is regarded as
Parinya Sa Ngiamsunthorn   +2 more
doaj   +2 more sources

Robust controlled vector variational inequalities for multi-dimensional fractional control optimization problems [PDF]

open access: yesArchives of Control Sciences
This paper is devoted to study robust efficiency in terms of variational inequality for a class of multi-dimensional multi-objective first-order PDE-constrained fractional control optimization problems with data uncertainty (MMFP).
Anurag Jayswal   +2 more
doaj   +3 more sources

Some results on the eigenvalue problem for a fractional elliptic equation

open access: yesBoundary Value Problems, 2019
This paper deals with the eigenvalue problem for a fractional variable coefficients elliptic equation defined on a bounded domain. Compared to the previous work, we prove a quite different variational formulation of the first eigenvalue for the above ...
Yujuan Tian
doaj   +2 more sources

A class of generalized evolutionary problems driven by variational inequalities and fractional operators [PDF]

open access: yesSet-Valued and Variational Analysis, 2019
This paper is devoted to a generalized evolution system called fractional partial differential variational inequality which consists of a mixed quasi-variational inequality combined with a fractional partial differential equation in a Banach space ...
Migórski, Stanisław, Zeng, Shengda
core   +4 more sources

A New Nonlocal Fractional Differential Quasi-Variational Inequality in Hilbert Spaces with Applications

open access: yesFractal and Fractional
This paper considers a new nonlocal fractional differential quasi-variational inequality (NFDQVI) comprising a fractional differential equation with a nonlocal condition and a time-dependent quasi-variational inequality in Hilbert spaces.
Zengbao Wu   +5 more
doaj   +2 more sources

Combined effects for a class of fractional variational inequalities [PDF]

open access: yesOpuscula Mathematica
In this paper, we study the existence of a nonnegative weak solution to the following nonlocal variational inequality: \[\int_{\mathbb{R}^N}(-\Delta)^{\frac{s}{2}} u (-\Delta)^{{\frac{s}{2}}}(v-u)dx+\int_{\mathbb{R}^N}(1+\lambda M(x))u(v-u)dx \geq \int_{\
Shengbing Deng   +2 more
doaj   +3 more sources

Existence of a Generalized Solution for the Fractional Contact Problem

open access: yesJournal of Mathematics, 2023
In this paper, we take into consideration the mathematical analysis of time-dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation.
Leila Ait kaki   +3 more
doaj   +2 more sources

Multivalued Variational Inequalities with Generalized Fractional Φ-Laplacians

open access: yesFractal and Fractional
In this article, we examine variational inequalities of the form ⟨A(u),v−u⟩+⟨F(u),v−u⟩≥0,∀v∈Ku∈K,, where A is a generalized fractional Φ-Laplace operator, K is a closed convex set in a fractional Musielak–Orlicz–Sobolev space, and F is a multivalued ...
Vy Khoi Le
doaj   +2 more sources

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