Existence of solutions for a mixed fractional boundary value problem

AG Lakoud, R Khaldi, A Kılıçman - Advances in difference equations, 2017 - Springer
In this paper, we prove the existence of solutions for a boundary value problem involving
both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert …

On a fractional oscillator equation with natural boundary conditions

A Guezane-Lakoud, R Khaldi, DFM Torres - arXiv preprint arXiv …, 2017 - arxiv.org
We prove existence of solutions for a nonlinear fractional oscillator equation with both left
Riemann-Liouville and right Caputo fractional derivatives subject to natural boundary …

[PDF][PDF] Higher order fractional boundary value problems for mixed type derivatives

R Khaldi, A Guezane-Lakoud - J. Nonlinear Funct. Anal, 2017 - scholar.archive.org
Some results on the existence of solutions for a nonlinear higher order fractional differential
equation involving both the left Riemann-Liouville and the right Caputo fractional derivatives …

Impulsive boundary value problems with nonlinear boundary conditions

J Shen, W Wang - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
In this paper, the upper and lower solution method and Schauder's fixed point theorem are
employed in the study of boundary value problems for a class of second-order impulsive …

Lyapunov inequality for a boundary value problem involving conformable derivative

R Khaldi, GL Assia - arXiv preprint arXiv:1706.04594, 2017 - arxiv.org
We consider a boundary value problem involving conformable derivative of order $\alpha, $
$1<\alpha< 2$ and Dirichlet conditions. To prove the existence of solutions, we apply the …

New results and applications on the existence results for nonlinear coupled systems

I Talib, T Abdeljawad, MA Alqudah, C Tunc… - Advances in Difference …, 2021 - Springer
In this manuscript, we study a certain classical second-order fully nonlinear coupled system
with generalized nonlinear coupled boundary conditions satisfying the monotone …

Exploring the Lower and Upper Solutions Approach for ABC-Fractional Derivative Differential Equations

I Talib, MB Riaz, A Batool, C Tunç - International Journal of Applied and …, 2024 - Springer
The lower and upper solution approach has been widely employed in the literature to
ensure the existence of solutions for integer-order boundary value problems. Therefore, in …

[PDF][PDF] On generalized nonlinear Euler-Bernoulli Beam type equations

R Khaldi, A Guezane-Lakoud - Acta Universitatis Sapientiae …, 2018 - sciendo.com
This paper is devoted to the study of a nonlinear Euler-Bernoulli Beam type equation
involving both left and right Caputo fractional derivatives. Differently from the approaches of …

Solutions for a nonlinear fractional Euler–Lagrange type equation

A Guezane-Lakoud, R Khaldi - SeMA Journal, 2019 - Springer
The aim of this paper is the study of a nonlinear fractional Euler–Lagrange type equation
with a nonlocal condition by means of lower and upper solutions method. For this purpose …

含非线性阻尼的二维自治g-Navier-Stokes 方程解的双全局吸引子.

王小霞, 黄厚曾, 姜金平 - Journal of Zhejiang University …, 2023 - search.ebscohost.com
以研究二维自治g-Navier-Stokes 方程解的全局渐近性为目的, 用算子分解方法证明了在有界
区域上含非线性阻尼的二维自治g-Navier-Stokes 方程解的双全局吸引子存在性 …