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Existence of three positive solutions for a class of Riemann-Liouville fractional q-difference equation
Shugui Kang,Huiqin Chen,Luping Li,Shiwang Ma
Keywords:fractional q-integral of the Riemann-Liouville; fractional q-derivative of the Riemann-Liouville; fixed point theorem; fractional q-difference equation; positive solutions
Abstract:
      In this paper, we confirm the existence of three positive solutions for a class of Riemann- Liouville fractional q-difference equation which satisfies the boundary conditions. We gain sev- eral sufficient conditions for the existence of three positive solutions of this boundary value problem by applying the Leggett-Williams fixed point theorem.