[ΒΙΒΛΙΟ][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 …

[HTML][HTML] Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line

G Wang, K Pei, RP Agarwal, L Zhang… - Journal of computational …, 2018 - Elsevier
This article investigates a new class of boundary value problems of one-dimensional lower-
order nonlinear Hadamard fractional differential equations and nonlocal multi-point discrete …

Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain

K Pei, G Wang, Y Sun - Applied Mathematics and Computation, 2017 - Elsevier
A Hadamard type fractional integro-differential equation on infinite intervals is considered.
By using monotone iterative technique, we not only get the existence of positive solutions …

Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives

U Riaz, A Zada, Z Ali, Y Cui, J Xu - Advances in Difference Equations, 2019 - Springer
We present some results on the existence, uniqueness and Hyers–Ulam stability to the
solution of an implicit coupled system of impulsive fractional differential equations having …

Ulam–Hyers stability for an impulsive Caputo–Hadamard fractional neutral stochastic differential equations with infinite delay

M Rhaima - Mathematics and Computers in Simulation, 2023 - Elsevier
This paper addresses existence and Ulam–Hyers stability (UHS) problems for an impulsive
Caputo–Hadamard fractional neutral functional stochastic differential equation with infinite …

A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions

C Zhai, W Wang, H Li - Journal of Inequalities and Applications, 2018 - Springer
In this article, we discuss a new Hadamard fractional differential system with four-point
boundary conditions D α H u (t)+ f (t, v (t))= lf, t∈(1, e), D β H v (t)+ g (t, u (t))= lg, t∈(1, e), u …

Existence of solutions for nonlocal boundary value problem of Hadamard fractional differential equations

S Muthaiah, M Murugesan… - Advances in the Theory of …, 2019 - dergipark.org.tr
We investigate the existence and uniqueness of solutions for Hadamard fractional
differential equations with non-local integral boundary conditions, by using the Leray …

On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems

M Cichoń, HAH Salem - Journal of Pseudo-Differential Operators and …, 2020 - Springer
In this pages, we discuss the problem of equivalence between fractional differential and
integral problems. Although the said problem was studied for ordinary derivatives, it makes …

On a system of Hadamard fractional differential equations with nonlocal boundary conditions on an infinite interval

R Luca, A Tudorache - Fractal and Fractional, 2023 - mdpi.com
Our research focuses on investigating the existence of positive solutions for a system of
nonlinear Hadamard fractional differential equations. These equations are defined on an …

Existence, uniqueness, and multiplicity results on positive solutions for a class of Hadamard‐type fractional boundary value problem on an infinite interval

W Zhang, W Liu - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
This paper focuses on a class of Hadamard‐type fractional differential equation with
nonlocal boundary conditions on an infinite interval. New existence, uniqueness, and …