Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

K Liu, JR Wang, D O'Regan - Advances in Difference Equations, 2019 - Springer
In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-
Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations …

Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations

B Ahmad, SK Ntouyas, IK Purnaras - Advances in Difference Equations, 2012 - Springer
In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary
conditions. The existence of solutions for the problem is shown by applying some well …

Composite learning adaptive sliding mode control of fractional-order nonlinear systems with actuator faults

H Liu, H Wang, J Cao, A Alsaedi, T Hayat - Journal of the Franklin Institute, 2019 - Elsevier
This paper considers the tracking control of fractional-order nonlinear systems (FONSs) in
triangular form with actuator faults by means of sliding mode control (SMC) and composite …

[HTML][HTML] Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables

X Zhang, Q Zhong - Applied Mathematics Letters, 2018 - Elsevier
In this paper, different height functions of the nonlinear term on special bounded sets
together with Leggett–Williams and Krasnosel'skii fixed point theorems are employed to …

The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity

J Wu, X Zhang, L Liu, Y Wu, Y Cui - Boundary Value Problems, 2018 - Springer
In this paper, we focus on the convergence analysis and error estimation for the unique
solution of ap-Laplacian fractional differential equation with singular decreasing …

Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter

X Zhang, L Wang, Q Sun - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we study the existence of positive solutions for the following nonlinear
fractional differential equations with integral boundary conditions: D 0+ α u (t)+ h (t) f (t, u …

Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter

C Zhai, L Xu - Communications in Nonlinear Science and Numerical …, 2014 - Elsevier
In this paper, by using fixed point theorems of concave operators in partial ordering Banach
spaces, we establish the existence and uniqueness of positive solutions to a class of four …

Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions

L Guo, L Liu, Y Wu - Nonlinear Analysis: Modelling and Control, 2016 - zurnalai.vu.lt
In this paper, we investigate the existence of at least three positive solutions to a singular
boundary value problem of Caputo's fractional differential equations with a boundary …

[BOOK][B] Boundary value problems for fractional differential equations and systems

B Ahmad, J Henderson, R Luca - 2021 - World Scientific
Boundary Value Problems for Fractional Differential Equations and Systems : Preliminaries
Page 1 Chapter 1 Preliminaries In this chapter, we present the definitions and some …

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

M Ahmad, A Zada, J Alzabut - Demonstratio Mathematica, 2019 - degruyter.com
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–
Hadamard type fractional differential system are obtained by using Kransnoselskii's fixed …