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Multiple solutions for a nonlinear perturbed fractional boundary value problem. (English) Zbl 1321.34012

The existence of three solutions for a perturbed fractional boundary value problem is proved. The approach makes use of critical point theory.

MSC:

34A08 Fractional ordinary differential equations
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
34B15 Nonlinear boundary value problems for ordinary differential equations