Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations

K Shah, H Khalil, RA Khan - Chaos, Solitons & Fractals, 2015 - Elsevier
In this article, we study a coupled system of impulsive boundary value problems for
nonlinear fractional order differential equations. We obtain sufficient conditions for existence …

Positive solutions to singular fractional differential system with coupled boundary conditions

J Jiang, L Liu, Y Wu - … in Nonlinear Science and Numerical Simulation, 2013 - Elsevier
By using the fixed point theory in cone and constructing some available integral operators
together with approximating technique, the existence of positive solution for a singular …

[HTML][HTML] Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions

W Yang - Computers & Mathematics with Applications, 2012 - Elsevier
In the this paper, we establish sufficient conditions for the existence and nonexistence of
positive solutions to a general class of integral boundary value problems for a coupled …

Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations

A Ali, K Shah, F Jarad, V Gupta… - Advances in difference …, 2019 - Springer
In this paper, we study a coupled system of implicit impulsive boundary value problems
(IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and …

A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with …

MA Zaky, IG Ameen - Numerical Algorithms, 2020 - Springer
Our aim in this paper is to develop a Legendre-Jacobi collocation approach for a nonlinear
system of two-point boundary value problems with derivative orders at most two on the …

Existence and stability of impulsive coupled system of fractional integrodifferential equations

A Zada, H Waheed, J Alzabut, X Wang - Demonstratio Mathematica, 2019 - degruyter.com
In this manuscript, we deal with a class and coupled system of implicit fractional differential
equations, having some initial and impulsive conditions. Existence and uniqueness results …

Existence of solutions for a sequential fractional differential system with coupled boundary conditions

J Jiang, L Liu - Boundary Value Problems, 2016 - Springer
This paper is concerned with the existence and uniqueness of solutions for a sequential
fractional differential system with coupled boundary conditions. The existence of solutions is …

[PDF][PDF] Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions

L Liu, H Li, C Liu, Y Wu - J. Nonlinear Sci. Appl, 2017 - researchgate.net
In this paper, we study the existence and uniqueness of positive solutions for a class of
singular fractional differential systems with coupled integral boundary conditions. By using …

Existence of the positive solutions for a tripled system of fractional differential equations via integral boundary conditions

H Afshari, H Shojaat, MS Moradi - Results in Nonlinear Analysis, 2021 - dergipark.org.tr
The purpose of this paper, is studying the existence and nonexistence of positive solutions
to a class of a following tripled system of fractional differential equations.\begin …

Analysis of implicit type nonlinear dynamical problem of impulsive fractional differential equations

N Ahmad, Z Ali, K Shah, A Zada, G ur Rahman - Complexity, 2018 - Wiley Online Library
We study the existence, uniqueness, and various kinds of Ulam–Hyers stability of the
solutions to a nonlinear implicit type dynamical problem of impulsive fractional differential …