Variational methods and critical point theorems are used to discuss existence and multiplicity of solutions for fractional boundary value problem where Riemann–Liouville fractional derivatives and Caputo fractional derivatives are used. Some conditions to determinate nonnegative solutions are presented. An example is given to illustrate our results.
Averna, D., O’Regan, D., Tornatore, E. (2018). Multiple Solutions for Fractional Boundary Value Problems. BULLETIN OF IRANIAN MATHEMATICAL SOCIETY, 44(1), 137-148 [10.1007/s41980-018-0010-4].
Multiple Solutions for Fractional Boundary Value Problems
Averna, Diego;Tornatore, Elisabetta
2018-01-01
Abstract
Variational methods and critical point theorems are used to discuss existence and multiplicity of solutions for fractional boundary value problem where Riemann–Liouville fractional derivatives and Caputo fractional derivatives are used. Some conditions to determinate nonnegative solutions are presented. An example is given to illustrate our results.
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