Some results of positive solutions of conformable fractional integral boundary value problem with \(p\)-Laplacian operator. (English) Zbl 07900263
Summary: This article investigates the existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions. By utilizing the properties of Green’s function with the fixed point theorem in a cone, we examine the existence of a positive solution for nonlinear boundary value problems involving the \(p\)-Laplacian operators. We present some examples for clarity of the mentioned results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B24 | Sturm-Liouville theory |
| 47H10 | Fixed-point theorems |
