Existence and stability results for nonlinear fractional integrodifferential equations with nonlocal antiperiodic boundary conditions
SOME RESULTS ON FRACTIONAL BOUNDARY VALUE PROBLEM
Abstract
This work examines the existence and stability of solutions for nonlinear fractional integrodifferential equations with nonlocal antiperiodic boundary conditions, which include the Caputo derivative. The existence established using Banach contraction mapping theorem. Furthermore, two types of Ulam stability are being studied, namely Ulam-Hyers stability and generalized Ulam-Hyers stability. Finally, examples are given to demonstrate the applicability of the key findings.
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