Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions
Hussam Alrabaiah, Israr Ahmad, Kamal Shah, Ghaus ur Rahman
Abstract
Abstract In this research article, we develop a qualitative analysis to a class of nonlinear coupled system of fractional delay differential equations (FDDEs). Under the integral boundary conditions, existence and uniqueness for the solution of this system are carried out. With the help of Leray–Schauder and Banach fixed point theorem, we establish indispensable results. Also, some results affiliated to Ulam–Hyers (UH) stability for the system under investigation are presented. To validate the results, illustrative examples are given at the end of the manuscript.
Topics & Concepts
MathematicsMathematical analysisUniquenessNonlinear systemFixed-point theoremOrdinary differential equationBoundary value problemIntegral equationSchauder fixed point theoremClass (philosophy)Partial differential equationStability (learning theory)Differential equationPicard–Lindelöf theoremApplied mathematicsComputer scienceMachine learningArtificial intelligencePhysicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems