[图书][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 …

Some existence results on nonlinear fractional differential equations

D Baleanu, S Rezapour… - … Transactions of the …, 2013 - royalsocietypublishing.org
In this paper, by using fixed-point methods, we study the existence and uniqueness of a
solution for the nonlinear fractional differential equation boundary-value problem D α u (t)= f …

[PDF][PDF] Existence theorems and Hyers–Ulam stability for a class of hybrid fractional differential equations with p-Laplacian operator

H Khan, C Tunc, W Chen, A Khan - J. Appl. Anal. Comput, 2018 - researchgate.net
In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS)
as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) …

On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

M Subramanian, M Manigandan, C Tunç… - Journal of Taibah …, 2022 - Taylor & Francis
We investigate a new class of boundary value problems of a nonlinear coupled system of
sequential fractional differential equations and inclusions involving Caputo fractional …

Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

B Ahmad, SK Ntouyas - Applied mathematics and computation, 2015 - Elsevier
This paper is concerned with the existence and uniqueness of solutions for a coupled
system of Caputo type sequential fractional differential equations supplemented with …

Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses

A Zada, S Ali - International Journal of Nonlinear Sciences and …, 2018 - degruyter.com
This paper deals with a new class of non-linear impulsive sequential fractional differential
equations with multi-point boundary conditions using Caputo fractional derivative, where …

Construction of fractional power series solutions to fractional stiff system using residual functions algorithm

A Freihet, S Hasan, M Al-Smadi, M Gaith… - Advances in Difference …, 2019 - Springer
A powerful analytical approach, namely the fractional residual power series method (FRPS),
is applied successfully in this work to solving a class of fractional stiff systems. The …

Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

H Khan, Y Li, W Chen, D Baleanu, A Khan - Boundary Value Problems, 2017 - Springer
In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-
Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian …

Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces

D Baleanu, RP Agarwal, H Mohammadi… - Boundary Value …, 2013 - Springer
Some existence results for a nonlinear fractional differential equation on partially ordered
Banach spaces | Boundary Value Problems Skip to main content SpringerLink Account Menu …

[HTML][HTML] Sequential fractional differential equations with three-point boundary conditions

B Ahmad, JJ Nieto - Computers & Mathematics with Applications, 2012 - Elsevier
This paper studies a nonlinear three-point boundary value problem of sequential fractional
differential equations of order α+ 1 with 1< α≤ 2. The expression for Green's function of the …