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 and uniqueness of positive solutions for first-order nonlinear Liouville–Caputo fractional differential equations

A Ardjouni, A Djoudi - São Paulo Journal of Mathematical Sciences, 2020 - Springer
We study the existence and uniqueness of positive solutions of the first-order nonlinear
Liouville–Caputo fractional differential equation {^ CD^ α\left (x\left (t\right)-g (t, x (t))\right) …

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 …

[HTML][HTML] Existence solutions for implicit fractional relaxation differential equations with impulsive delay boundary conditions

V Wattanakejorn, P Karthikeyann, S Poornima… - Axioms, 2022 - mdpi.com
The aim of this paper is to study the existence and uniqueness of solutions for nonlinear
fractional relaxation impulsive implicit delay differential equations with boundary conditions …

Positive solutions for generalized two-term fractional differential equations with integral boundary conditions

HA Wahash, SK Panchal - Journal of Mathematical Analysis and …, 2020 - sabapub.com
In this paper, we consider a class of boundary value problems for nonlinear two-term
fractional differential equations with integral boundary conditions involving two $\psi …

[PDF][PDF] Positive solutions of a fractional integro-differential equation with integral boundary conditions

A Lachouri, A Ardjouni, A Djoudi - Commun. Optim. Theory, 2020 - researchgate.net
We study the existence and uniqueness of positive solutions of a fractional integro-
differential equation with integral boundary conditions. We convert the given fractional …

[PDF][PDF] Positive solutions for generalized Caputo fractional differential equations with integral boundary conditions

HA Wahash, SK Panchal, MS Abdo - Journal of Mathematical …, 2020 - researchgate.net
This article is devoted to the study of a new class of nonlinear fractional-order differential
equations with integral boundary conditions involving a generalized version of the Caputo …

Boundary value problem for nonlinear Caputo-Hadamard fractional differential equation with Hadamard fractional integral and anti-periodic conditions

A Boutiara, M Benbachir… - … , Series: Mathematics and …, 2021 - casopisi.junis.ni.ac.rs
The aim of this work is to study a class of boundary value problem including a fractional
order differential equation involving the Caputo-Hadamard fractional derivative. Suffcient …

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 …

On some impulsive fractional integro-differential equation with anti-periodic conditions

Y Alruwaily, K Venkatachalam, E El-hady - Fractal and Fractional, 2024 - mdpi.com
We investigate a class of boundary value problems (BVPs) involving an impulsive fractional
integro-differential equation (IF-IDE) with the Caputo–Hadamard fractional derivative (C …