A variational approach to perturbed impulsive fractional differential equations

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URI: https://hdl.handle.net/10347/45141
ISSN: 0377-0427
E-ISSN: 1879-1778
DOI: 10.1016/j.cam.2018.02.033

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2018-10-15

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Elsevier
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Abstract

In this paper, perturbed systems of impulsive nonlinear fractional differential equations, including Lipschitz continuous nonlinear terms, are studied. The existence of at least three distinct weak solutions is obtained based on a recent three critical points theorem for differentiable functionals. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.

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Three solutions| Fractional differential equation| Impulsive effect| Variational methods| Critical point theory

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S. Heidarkhani, A. Cabada, G.A. Afrouzi, S. Moradi, G. Caristi, A variational approach to perturbed impulsive fractional differential equations, Journal of Computational and Applied Mathematics, Volume 341, 2018, Pages 42-60, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2018.02.033.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización