Results 61 to 69 of about 408 (69)

Hyperbolic Volterra equations of convolution type in Sobolev spaces [PDF]

arXiv, 2014
We study the correct solvability of an abstract integro-differential equations in Hilbert space generalizing integro-differential equations arising in the theory of viscoelastisity. The equations under considerations are the abstract hyperbolic equations perturbed by the terms containing Volterra integral operators. We establish the correct solvability
arxiv  

Correct solvability of hyperbolic Volterra equations with kernels depending on the parameter [PDF]

arXiv, 2014
We study the correct solvability of an abstract functional differential equations in Hilbert space, which includes integro-differential equations describing evolution of thermal phenomena, heat transfer in materials with memory or sound propagation in viscoelastic media.
arxiv  

A note on global regularity for the weak solutions of fractional p-Laplacian equations [PDF]

arXiv, 2015
We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove H\"older regularity up to the boundary for the weak solutions, both in the singular (12) case.
arxiv  

Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. [PDF]

J Math Biol, 2020
Eckardt M, Painter KJ, Surulescu C, Zhigun A.   +3 more
europepmc   +1 more source

Boundary regularity for non-local operators with symmetric kernels and vanishing horizon [PDF]

arXiv
We prove optimal H\"older boundary regularity for a non-local operator with a singular, symmetric kernel that depends on the distance to the boundary of the underlying domain. Additionally, we prove higher boundary regularity of solutions.
arxiv  

A variational inequality of Kirchhoff-type in R N. [PDF]

J Inequal Appl, 2018
Zuo J, An T, Liu W.
europepmc   +1 more source

Hölder regularity for parabolic fractional p-Laplacian. [PDF]

Calc Var Partial Differ Equ
Liao N.
europepmc   +1 more source

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Hypercyclic and topologically mixing properties ofabstract degenerate time-fractional inclusions

, 2017
In this paper, we analyze hypercyclic and topologically mixing properties of abstract degenerate (multi-term) time-fractional inclusions in separable infinite-dimensional Fréchet spaces. We use the multivalued linear operator approach.
M. Kostic
semanticscholar   +1 more source

Spectral Collocation Method for a Class of Integro-Differential Equations with Erdelyi-Kober Fractional Operator

, 2020
The Erdélyi-Kober fractional operators have found a large number of applications in many disciplines such as porous media and viscoelasticity. The purpose of this paper is to express the fractional integro-differential equations with ErdélyiKober ...
M. Hadizadeh
semanticscholar   +1 more source