Variational approach to fractional Sturm-Liouville equations with mixed impulses

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Abstract

This research focused on solving fractional Sturm-Liouville equations subject to mixed boundary conditions and a combination of instantaneous and non-instantaneous impulses. Through the use of variational methods, the existence of both solutions and multiple solutions for the aforementioned problem was established under assumptions that were weaker than the classical superlinear Ambrosetti-Rabinowitz type growth requirement. Finally, the examples demonstrated the validity of the paper’s results.

Keywords

Sturm-Liouville equation / mixed boundary conditions / non-instantaneous impulses / instantaneous impulses / variational methods

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