Positive solutions of singular fractional order differential system with Riemann-Stieltjes integral boundary condition
2016
In this paper, we study the existence of positive solutions to a class of higher-order nonlinear fractional functional differential system with Riemann-Stieltjes integral boundary conditions. Our method relies upon the upper and lower solutions and the Schauder fixed point theorem. Furthermore, we constructed an iterative scheme to approximate the positive solution. We also give an example to illustrate the main results.
Keywords:
- Mathematical analysis
- Mathematical optimization
- Free boundary problem
- Examples of differential equations
- Fractional calculus
- Separable partial differential equation
- Mathematics
- Boundary value problem
- Integral equation
- Initial value problem
- Riemann–Stieltjes integral
- Schauder fixed point theorem
- Sturm–Liouville theory
- Ordinary differential equation
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