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In this article, we investigate a class of nonlinear fractional differential equations with non-instantaneous impulses. By means of critical point theory and variational methods, we prove that the existence and… Click to show full abstract
In this article, we investigate a class of nonlinear fractional differential equations with non-instantaneous impulses. By means of critical point theory and variational methods, we prove that the existence and multiplicity of nontrivial solutions for the non-instantaneous impulsive fractional problem. Furthermore, the nonexistence of nontrivial solutions for the non-instantaneous impulsive fractional problem is obtained as well.
Keywords:
instantaneous impulsive;
fractional differential;
non instantaneous;
nonlinear fractional;
variational methods;
existence
Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
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Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
Link to full text (if available)
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recommendations!