A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability
Mehboob Alam, Akbar Zada, Ioan‐Lucian Popa, Alireza Kheiryan, Shahram Rezapour, Mohammed K. A. Kaabar
Abstract
Abstract In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique, the existence of solution is accomplished. By applying the Bielecki-norm and the classical fixed point theorem, the Ulam stability results of the studied system are presented. An illustrative example is provided at the last part to validate all our obtained theoretical results.
Topics & Concepts
MathematicsFractional calculusLaplace transformUniquenessMathematical analysisBoundary value problemOrdinary differential equationPartial differential equationFixed-point theoremStability (learning theory)Differential equationApplied mathematicsComputer scienceMachine learningFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFunctional Equations Stability Results