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

Ahmad, Bashir

Appl. Math. Lett. 23, No. 4, 390-394 (2010).

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.

MSC:

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

Keywords:

nonlinear fractional differential equations; irregular boundary conditions; existence; fixed point theorem

References:

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