Hyers-Ulam Stability Results for Tempered (k, ψ)-Hilfer Fractional Differential Equations via the (k, ψ)-Generalized Laplace Transform
Keywords:
Stability theory, Fractional calculus, Laplace transform, Gamma and beta functions, Integral transformsAbstract
We study the Hyers-Ulam stability of tempered (k, ψ)-Hilfer fractional differential equations using the (k, ψ)-generalized Laplace transform. This transform plays a central role in deriving and extending stability results, underscoring its effectiveness in the analysis of tempered fractional operators. The theoretical contributions are further supported by illustrative examples that confirm the validity and applicability of the results.
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