Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions [PDF]
In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are established.
Jiqiang Jiang +2 more
openaire +3 more sources
Well-posedness of elliptic-parabolic differential problem with integral condition
In this paper, we study a class of nonlocal boundary value problems for elliptic-parabolic equations subject to integral-type conditions. Such problems naturally emerge in various physical and engineering contexts, including diffusion processes in ...
O. Gercek
doaj +1 more source
Global existence for a nonlocal model for adhesive contact
In this paper we address the analytical investigation of a model for adhesive contact, which includes nonlocal sources of damage on the contact surface, such as the elongation.
Bonetti, Elena +2 more
core +1 more source
Studying a system of non-local condition hyperbolic equations
Local boundary value problems for hyperbolic differential equations have been studied in considerable detail. However, the mathematical modeling of a number of real-world processes leads to nonlocal boundary value problems involving nonlinear hyperbolic
Y.A. Sharifov, A.R. Mammadli
doaj +1 more source
Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence
By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on the first
Infante, Gennaro, Minhós, Feliz
core +1 more source
Space-time adaptive finite elements for nonlocal parabolic variational inequalities [PDF]
This article considers the error analysis of finite element discretizations and adaptive mesh refinement procedures for nonlocal dynamic contact and friction, both in the domain and on the boundary. For a large class of parabolic variational inequalities
Gimperlein, Heiko, Stocek, Jakub
core +2 more sources
Synchrotron Radiation for Quantum Technology
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
wiley +1 more source
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential [PDF]
This paper is concerned with a distributed optimal control problem for a nonlocal phase field model of Cahn-Hilliard type, which is a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of diffusion.
Colli, Pierluigi +2 more
core +3 more sources
Three‐dimensional Antimony Sulfide Based Flat Optics
This work presents the development of a grayscale electron beam lithography (g‐EBL) method for fabricating antimony trisulfide (Sb2S3) nanostructures with customizable 3D profiles. The refractive index of g‐EBL patterned Sb2S3 is determined based on the synergy of genetic algorithm and transfer matrix method.
Wei Wang +18 more
wiley +1 more source
Effectively nonlocal metric-affine gravity
In metric-affine theories of gravity such as the C-theories, the spacetime connection is associated to a metric that is nontrivially related to the physical metric.
Golovnev, Alexey +2 more
core +1 more source

