Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations. (English) Zbl 1198.34007

Summary: We present some new existence and uniqueness results for nonlinear fractional differential equations of order \(q\in (1,2]\) with irregular boundary conditions in a Banach space. Our results are based on the contraction mapping principle and Krasnoselskii’s fixed point theorem.


34A08 Fractional ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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