Triple positive solutions for two classes of delayed nonlinear fractional FDEs with nonlinear integral boundary value conditions. (English) Zbl 1342.34108
Summary: This paper is concerned with two classes of delayed nonlinear fractional functional differential equations (FDEs) with nonlinear Riemann-Stieltjes integral boundary value conditions. By employing the well-known Leggett-Williams fixed point theorem and a generalization of Leggett-Williams fixed point theorem, some new sufficient criteria are established to guarantee the existence of at least triple positive solutions. As applications, some interesting examples are presented to illustrate our main results.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K10 | Boundary value problems for functional-differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
delayed nonlinear fractional FDEs; multiple positive solutions; nonlinear Riemann-Stieltjes integral boundary conditions; fixed point theoremReferences:
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