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An existence and uniqueness theorem for a fractional boundary value problem via new fixed point results on quasi metric spaces. (English) Zbl 1448.54025

Summary: In this paper, we present two fixed point results on quasi metric spaces by taking into account a contractive condition that obtained via simulation and \(Q\)-functions. Then one of these fixed point results has been applied to guarantee the existence and uniqueness of positive solution of a kind of fractional boundary value problem with Riemann-Liouville fractional derivative.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
26A33 Fractional derivatives and integrals
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