Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives
Shuqi Wang, Zhanbing Bai
Abstract
Abstract In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p -Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the method is Banach contraction mapping principle. Finally, an example is given to verify the results.
Topics & Concepts
MathematicsUniquenessContraction principleContraction mappingBoundary value problemMathematical analysisLaplace transformPartial differential equationOrdinary differential equationFixed-point theoremFractional calculusContraction (grammar)Applied mathematicsDifferential equationInternal medicineMedicineNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems