Stability analysis for a tripled system of fractional pantograph differential equations with nonlocal conditions
Hasanen A. Hammad, Rashwan A. Rashwan, Ahmed Nafea, Mohammad Esmael Samei, Samad Noeiaghdam
Abstract
The goal of this article is to obtain the existence and uniqueness of a tripled fixed point to the underlying tripled system of fractional pantograph differential equations. We also used degree theory with non-local boundary conditions to derive relevant results supporting the existence of at least one solution to our proposed system. Furthermore, some stability analysis such as Ulam–Hyers and generalized Ulam–Hyers are established. Finally, an illustrative example is presented to support and enhance our analysis.
Topics & Concepts
PantographUniquenessMathematicsStability (learning theory)Mathematical analysisDifferential equationBoundary value problemApplied mathematicsFixed-point theoremControl theory (sociology)Computer scienceControl (management)EngineeringMachine learningArtificial intelligenceMechanical engineeringNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems