Existence and Ulam–Hyers stability results of a coupled system of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si3.svg"> <mml:mi>ψ</mml:mi> </mml:math> -Hilfer sequential fractional differential equations
Mohammed A. Almalahi, Mohammed S. Abdo, Satish K. Panchal
Abstract
The major goal of this work is to investigate sufficient conditions of existence, uniqueness, and Ulam–Hyers stability of solutions for a coupled system of ψ-Hilfer sequential fractional differential equations with two-point boundary conditions. Some standard fixed point theorems of Leray–Schauder alternative and Banach are applied to establish these results. A pertinent example is provided to corroboration the results obtained.
Topics & Concepts
UniquenessStability (learning theory)MathematicsFixed-point theoremBanach spaceApplied mathematicsFixed pointBoundary (topology)Point (geometry)Work (physics)Differential equationPure mathematicsDiscrete mathematicsMathematical analysisComputer scienceGeometryPhysicsThermodynamicsMachine learningFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems