6533b85ffe1ef96bd12c1bb3

RESEARCH PRODUCT

Infinitely many solutions to boundary value problem for fractional differential equations

Diego AvernaElisabetta TornatoreAngela Sciammetta

subject

Caputo fractional derivativeApplied Mathematics010102 general mathematicscritical pointAnalysiRiemann-Liouville fractional derivativeinfinitely many solution01 natural sciencesvariational method010101 applied mathematicsfractional differential equationApplied mathematicsBoundary value problem0101 mathematicsFractional differentialAnalysisMathematics

description

Variational methods and critical point theorems are used to discuss existence of infinitely many solutions to boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. An example is given to illustrate our result.

10.1515/fca-2018-0083http://hdl.handle.net/10447/351043