6533b86efe1ef96bd12cc9f3

RESEARCH PRODUCT

Multiple Solutions for Fractional Boundary Value Problems

Diego AvernaElisabetta TornatoreDonal O'regan

subject

010102 general mathematicsMathematical analysisMultiple solutionVariational methodMultiplicity (mathematics)01 natural sciencesCritical point (mathematics)Fractional differential equationFractional calculus010101 applied mathematicsMathematics (all)Pharmacology (medical)Boundary value problem0101 mathematicsCritical point theoremMathematics

description

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.

yearjournalcountryeditionlanguage
2018-02-01
10.1007/s41980-018-0010-4http://hdl.handle.net/10447/331826