6533b7cefe1ef96bd1257ab3
RESEARCH PRODUCT
On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations
Diego AvernaElisabetta TornatoreStepan TersianStepan Tersiansubject
Applied Mathematics010102 general mathematicsMathematical analysisMultiplicity (mathematics)01 natural sciencesDirichlet distribution010101 applied mathematicssymbols.namesakeSettore MAT/05 - Analisi MatematicasymbolsApplied mathematics0101 mathematicsFractional differentialAnalysisfractional differential equations critical points theorem variational methods multiple solutionsMathematicsdescription
In this paper, by using variational methods and critical point theorems, we prove the existence and multiplicity of solutions for boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. Our results extend the second order boundary value problem to the non integer case. Moreover, some conditions to determinate nonnegative solutions are presented and examples are given to illustrate our results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-02-01 |