scholarly journals On a two-dimensional fractional thermoelastic system with nonlocal constraints describing a fractional Kirchhoff plate

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Said Mesloub ◽  
Faten Aldosari
Keyword(s):  
Existence And Uniqueness ◽  
Energy Inequality ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Kirchhoff Plate ◽  
Two Dimensional ◽  
Uniqueness Of Solutions ◽  
Fractional Caputo Derivative ◽  
Kirchhoff Plate Model ◽  
Nonlocal Constraints

AbstractWe show herein the existence and uniqueness of solutions for coupled fractional order partial differential equations modeling a thermoelastic fractional Kirchhoff plate model associated with initial, Dirichlet, and nonlocal boundary conditions involving fractional Caputo derivative. Some efficient results of existence and uniqueness are obtained by employing the energy inequality method.

scholarly journals Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
Jing Zhao ◽  
Peifen Lu ◽  
Yiliang Liu
Keyword(s):  
Numerical Simulation ◽  
Fixed Point ◽  
Existence And Uniqueness ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Nonlocal Boundary Conditions ◽  
Uniqueness Of Solutions ◽  
Fractional Equations ◽  
Fractional Langevin Equation ◽  
Fractional Orders

We study a boundary value problem for fractional equations involving two fractional orders. By means of a fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. In addition, we describe the dynamic behaviors of the fractional Langevin equation by using theG2algorithm.

scholarly journals Multi-term fractional differential equations with nonlocal boundary conditions

2018 ◽  
Vol 16 (1) ◽  
pp. 1519-1536
Author(s):  
Bashir Ahmad ◽  
Najla Alghamdi ◽  
Ahmed Alsaedi ◽  
Sotiris K. Ntouyas
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Fractional Differential ◽  
The Given

AbstractWe introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems. We also construct some examples for demonstrating the application of the main results.

scholarly journals About Positivity of Green's Functions for Nonlocal Boundary Value Problems with Impulsive Delay Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Alexander Domoshnitsky ◽  
Irina Volinsky
Keyword(s):  
Differential Equation ◽  
Existence And Uniqueness ◽  
Green's Functions ◽  
Green’S Functions ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Uniqueness Of Solutions ◽  
Impulsive Delay ◽  
Impulsive Delay Differential Equation ◽  
Delay Differential

The impulsive delay differential equation is considered(Lx)(t)=x′(t)+∑i=1mpi(t)x(t-τi(t))=f(t), t∈[a,b],  x(tj)=βjx(tj-0), j=1,…,k, a=t0<t1<t2<⋯<tk<tk+1=b, x(ζ)=0, ζ∉[a,b],with nonlocal boundary conditionlx=∫abφsx′sds+θxa=c,  φ∈L∞a,b;  θ, c∈R.Various results on existence and uniqueness of solutions and on positivity/negativity of the Green's functions for this equation are obtained.

scholarly journals Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments

2012 ◽  
Vol 2012 ◽  
pp. 1-25 ◽  
Author(s):  
Juan J. Nieto ◽  
Rosana Rodríguez-López
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
The State ◽  
State Function ◽  
Uniqueness Of Solutions ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant ◽  
Functional Differential

We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed.

scholarly journals The Uniqueness of Solution for a Class of Fractional Order Nonlinear Systems withp-Laplacian Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jun-qi He ◽  
Xue-li Song
Keyword(s):  
Nonlinear Systems ◽  
Boundary Conditions ◽  
Fractional Order ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Uniqueness Of Solution ◽  
Laplacian Operator ◽  
Uniqueness Of Solutions ◽  
Criterion Of Uniqueness

We are concerned with the uniqueness of solutions for a class ofp-Laplacian fractional order nonlinear systems with nonlocal boundary conditions. Based on some properties of thep-Laplacian operator, the criterion of uniqueness for solutions is established.

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