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The Applications of Critical-Point Theory to Discontinuous Fractional-Order Differential Equations

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Abstract We consider a fractional equation involving the left and right Riemann–Liouville fractional integrals and with Sturm–Liouville boundary-value conditions. We establish the variational structure of the problem and, by using… Click to show full abstract

Abstract We consider a fractional equation involving the left and right Riemann–Liouville fractional integrals and with Sturm–Liouville boundary-value conditions. We establish the variational structure of the problem and, by using critical-point theory, the existence of an unbounded sequence of solutions is obtained.

Keywords: point theory; applications critical; theory discontinuous; critical point

Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2017

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