[图书][B] Hadamard-type fractional differential equations, inclusions and inequalities

B Ahmad, A Alsaedi, SK Ntouyas, J Tariboon - 2017 - Springer
The recent studies on fractional differential equations indicate that a variety of interesting
and important results concerning existence and uniqueness of solutions, stability properties …

[PDF][PDF] On integral nonlocal boundary value problems for some partial differential equations

G Avalishvili, M Avalishvili… - Bull. Georg. Natl. Acad …, 2011 - researchgate.net
The present paper deals with the results of investigation of nonclassical problems for elliptic
and hyperbolic partial differential equations with integral nonlocal boundary conditions …

Blow-up of solutions for a system of nonlocal singular viscoelastic equations

A Zarai, A Draifia, S Boulaaras - Applicable Analysis, 2018 - Taylor & Francis
The main propose of this paper is to study the blow-up of solutions of an initial boundary
value problem with a nonlocal boundary condition for a system of nonlinear singular …

Nonlinear Langevin Equation of Hadamard‐Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions

J Tariboon, SK Ntouyas… - … in Mathematical Physics, 2014 - Wiley Online Library
We study existence and uniqueness of solutions for a problem consisting of nonlinear
Langevin equation of Hadamard‐Caputo type fractional derivatives with nonlocal fractional …

The two-level finite difference schemes for the heat equation with nonlocal initial condition

J Martín-Vaquero, S Sajavičius - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, the two-level finite difference schemes for the one-dimensional heat equation
with a nonlocal initial condition are analyzed. As the main result, we obtain conditions for the …

On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term

W Liu, Y Sun, G Li - 2017 - projecteuclid.org
We consider a singular nonlocal viscoelastic problem with a nonlinear source term and a
possible damping term. We prove that if the initial data enter into the stable set, the solution …

[HTML][HTML] On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation

G Avalishvili, M Avalishvili, D Gordeziani - Applied Mathematics Letters, 2011 - Elsevier
This work is devoted to the investigation of the nonclassical problem for a multidimensional
elliptic equation with two integral boundary conditions. By introducing special multipliers we …

Galerkin method for nonlocal mixed boundary value problem for the Moore‐Gibson‐Thompson equation with integral condition

S Boulaaras, A Zaraï, A Draifia - Mathematical Methods in the …, 2019 - Wiley Online Library
Galerkin method for nonlocal mixed boundary value problem for the Moore‐Gibson‐Thompson
equation with integral condition - Boulaaras - 2019 - Mathematical Methods in the Applied …

Global existence, decay, and blow up of solutions of a singular nonlocal viscoelastic problem

S Mesloub, SA Messaoudi - Acta applicandae mathematicae, 2010 - Springer
Global Existence, Decay, and Blow up of Solutions of a Singular Nonlocal Viscoelastic
Problem Page 1 Acta Appl Math (2010) 110: 705–724 DOI 10.1007/s10440-009-9469-6 Global …

Global existence and decay of solutions of a singular nonlocal viscoelastic system

A Draifia, A Zarai, S Boulaaras - … del Circolo Matematico di Palermo Series …, 2020 - Springer
In this work, we consider a singular one-dimensional viscoelastic system with a nonlinear
source term and nonlocal boundary condition. By using the potential well theory we obtain …