Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods

Yulin Zhao, Haibo Chen and Bin Qin

Applied Mathematics and Computation, 2015, vol. 257, issue C, 417-427

Abstract: In this paper, a coupled system of nonlinear fractional differential equations is considered. The existence of at least three distinct weak solutions is obtained by means of the variational methods and the critical point theory due to Bonanno and Marano. In addition, an example is presented to illustrate the feasibility and effectiveness of the main results.

Keywords: Three solutions; Fractional differential equations; Variational methods; Critical point (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:417-427

DOI: 10.1016/j.amc.2014.12.128

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