Existence of solutions for Caputo fractional delay differential equations with nonlocal and integral boundary conditions
Ziyue Cui, Zongfu Zhou
Abstract
Abstract In this paper, the existence and uniqueness of the solutions of Caputo fractional delay differential equations under nonlocal and integral boundary value conditions are studied. By using the Banach contraction principle and the Burton and Kirk fixed-point theorem, some new conclusions about the existence and uniqueness of solutions are obtained. An example is given to illustrate the main results.
Topics & Concepts
UniquenessMathematicsContraction principleFixed-point theoremMathematical analysisBoundary value problemContraction mappingPicard–Lindelöf theoremBanach fixed-point theoremFractional calculusApplied mathematicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations