Consider the initial value problem (IVP) for the system of fractional differential equations (FrDE) with a Caputo derivative for (0< q<1), _{t_{0}}^{c}D^{q}x=f t,x),qquad x(t_{0})=x_{0}, (4) where (x,x_{0}in mathbb{R}^{n}), (fin C[mathbb{R}_timesmathbb {R}^{n},mathbb{R}^{n}]), (f t,0 equiv0), (t_{0}geq0).
We can check that (x^) is a solution for the system of fractional difference inclusions (1).
In this paper, we shall discuss the existence of positive solutions for the system of fractional integral boundary value problem.
We investigate the existence of positive solutions for a system of fractional multi-point BVP with p-Laplacian operator.
This article is concerned to the investigation of extremal solutions for a system of fractional order differential equations with coupled integral boundary value problem.
Motivated by the works mentioned above, in this paper, we shall discuss the existence of positive solutions for the system of fractional integral boundary value problem (1.1).
In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order.
Firstly, although the two-point boundary value problems for coupled system of fractional differential equations have been studied by some authors, to the best of our knowledge, higher-order fractional differential equations with the Caputo fractional derivative are seldom considered.
In [18], by applying the fixed-point theorem due to Leggett Williams, the authors considered the existence of positive solutions for a system of fractional multi-point boundary value problem with p-Laplacian operator.
We present the application of the HDM for a system of fractional nonlinear differential equations and numerical results in Section 4. The conclusions are then given in the final Section 5.
By making a special product Banach space and using the famous result of Covitz and Nadler on fixed point of multifunctions we investigate the existence of a solution for a system of fractional finite difference inclusions via some boundary conditions.
