Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative
Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Syed Omar Shah, Jiafa Xu
Abstract
In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are Hyers–Ulam stable. We also provided an example that explains our results.
Topics & Concepts
UniquenessFractional calculusMathematicsApplied mathematicsDerivative (finance)Fixed-point theoremDifferential equationMathematical analysisFinancial economicsEconomicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFunctional Equations Stability Results