New results for higher‐order Hadamard‐type fractional differential equations on the half‐line
Tugba Senlik Cerdik, Fulya Yoruk Deren
Abstract
The purpose of this paper is to analyze a new kind of Hadamard‐type fractional boundary value problem combining integral boundary condition and multipoint fractional integral boundary condition on an infinite interval. By the help of the Bai‐Ge's fixed point theorem, multiplicity results of positive solutions are derived for the Hadamard‐type fractional boundary value problem. In the end, an example is also presented to illustrative the main result.
Topics & Concepts
MathematicsHadamard transformBoundary value problemMathematical analysisFractional calculusType (biology)Fixed-point theoremMultiplicity (mathematics)Order (exchange)Hadamard three-lines theoremHadamard matrixEcologyEconomicsBiologyFinanceNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods