A class of nonlocal problems of fractional differential equations with composition of derivative and parameters. (English) Zbl 1485.34038
Summary: In this paper, we study existence and nonexistence of positive solutions for a class of Riemann-Stieltjes integral boundary value problems of fractional differential equations with parameters. By using the fixed point index theory, some new sufficient conditions for the existence of at least one, two and the nonexistence of positive solutions are obtained. The results we obtain show the influence of parameter \(\lambda\) and parameter \(a\) on the existence of positive solutions. Finally, some examples are given to illustrate our main results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
Riemann-Liouville fractional derivative; Riemann-Stieltjes integral boundary conditions; disturbance parameter; fixed point theoremReferences:
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