Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative
Ahmed Salem, Sanaa Abdullah
Abstract
This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain. Using the modern tools of functional analysis, we achieve the required conditions. Finally, we provide an example of how our results can be applied.
Topics & Concepts
UniquenessStability (learning theory)Domain (mathematical analysis)MathematicsDerivative (finance)Fractional calculusMathematical analysisApplied mathematicsDifferential equationComputer scienceEconomicsMachine learningFinancial economicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFunctional Equations Stability Results