Analysis of some Katugampola fractional differential equations with fractional boundary conditions
Barbara Łupińska, Ewa Schmeidel
Abstract
In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.
Topics & Concepts
Fractional calculusMathematicsBoundary value problemMathematical analysisType (biology)Boundary (topology)Work (physics)Class (philosophy)Lyapunov functionDifferential equationApplied mathematicsNonlinear systemPhysicsComputer scienceBiologyThermodynamicsQuantum mechanicsArtificial intelligenceEcologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems