Abstract
We deal with a singular nonlocal fractional differential equation with Riemann-Stieltjes integral conditions. The exact iterative solution is established under the iterative technique. The iterative sequences have been proved to converge uniformly to the exact solution, and estimation of the approximation error and the convergence rate have been derived. An example is also given to demonstrate the results.
Highlights
Fractional differential equations arise in many engineering and scientific disciplines; see [1,2,3,4,5]
In [8, 9], they focused on sign-changing solution for some fractional differential equations
In [10], they get the existence of solutions for impulsive fractional differential equations
Summary
Fractional differential equations arise in many engineering and scientific disciplines; see [1,2,3,4,5]. Much attention has been paid to study fractional differential equations both with initial and boundary conditions; see, for example, [6, 7]. In [8, 9], they focused on sign-changing solution for some fractional differential equations. In [10], they get the existence of solutions for impulsive fractional differential equations. In [11,12,13], they get the existence and multiplicity of nontrivial solutions for a class of fractional differential equations. In [23], authors obtained results on the uniqueness of positive solution for problem. Different from [23] and other works, we only use the iterative methods to obtain the existence and uniqueness of positive solution.
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