Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations
R. Poovarasan, J. F. Gómez‐Aguilar, V. Govindaraj
Abstract
Abstract This study uses fixed point theory and the Banach contraction principle to prove the existence, uniqueness, and stability of solutions to boundary value problems involving a Ψ-Caputo-type fractional differential equation. The conclusions are supported by illustrative cases, which raise the theoretical framework’s legitimacy. Fractional calculus is widely used in scientific fields, as seen by its applications in beam deflection analysis, groundwater pollution, and biomedical signal processing.
Topics & Concepts
UniquenessBoundary value problemMathematicsStability (learning theory)Mathematical analysisValue (mathematics)Applied mathematicsFractional calculusDifferential equationPhysicsComputer scienceStatisticsMachine learningDifferential Equations and Numerical MethodsDifferential Equations and Boundary ProblemsNonlinear Differential Equations Analysis