Existence of positive solutions for weighted fractional order differential equations

MS Abdo, T Abdeljawad, SM Ali, K Shah… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, we deliberate two classes of initial value problems for nonlinear fractional
differential equations under a version weighted generalized of Caputo fractional derivative …

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 …

Stability results of positive solutions for a system of ψ-Hilfer fractional differential equations

MA Almalahi, SK Panchal, F Jarad - Chaos, Solitons & Fractals, 2021 - Elsevier
The major objective of this work is to investigate sufficient conditions of existence and
uniqueness of positive solutions for a finite system of ψ-Hilfer fractional differential …

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 …

Upper and lower solution method for positive solution of generalized Caputo fractional differential equations

J Patil, A Chaudhari, M Abdo… - Advances in the Theory of …, 2020 - dergipark.org.tr
In this research paper, the nonlinear fractional relaxation equation involving the generalized
Caputo derivative is reduced to an equivalent integral equation via the generalized Laplace …

[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 …

Positive solutions for generalized Caputo fractional differential equations using lower and upper solutions method

HA Wahash, SK Panchal - Journal of Fractional Calculus and …, 2020 - sabapub.com
Positive solutions for generalized Caputo fractional differential equations using lower and
upper solutions method Page 1 Journal of Fractional Calculus and Nonlinear Systems J …

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 …

Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems

A Ouannas, G Grassi, X Wang, T Ziar… - Advances in Difference …, 2018 - Springer
This paper presents new results related to the coexistence of function-based hybrid
synchronization types between non-identical incommensurate fractional-order systems …

Existence of solutions for a nonlinear fractional p-Laplacian boundary value problem

I Merzoug, A Guezane-Lakoud, R Khaldi - Rendiconti del Circolo …, 2020 - Springer
The main objective of this paper is to prove the existence of solutions for a fractional p-
Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo …