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Title Variational Approach for a Class of Two-point Fractional Boundary Value Systems
Type JournalPaper
Keywords two-point fractional boundary value systems; Caputo fractional derivatives; critical point theory; three solutions.
Abstract An existence result of multiple solutions for a class of two-point fractional boundary value equations depending upon a positive parameter is established. Our main tool is a three critical points theorem due to Bonanno and Marano [G. Bonanno and S.A. Marano, On the structure of the critical set of non-differentiable functions with a weak compactness condition, Appl. Anal. 89 (2010), 1-10] (386).
Researchers Jiafa Xu (Fourth Researcher), ARMIN Hadjian (Third Researcher), samad mohseni kolagar (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)