Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise-Modified Fractional-Order Derivative

Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz and Saira Tabassum

Discrete Dynamics in Nature and Society, 2026, vol. 2026, 1-18

Abstract: Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption-transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual-operator structure describes both short-term and long-term memory effects within a unified formulation. Analytical results confirm the existence and stability of solutions, while numerical experiments reveal faster stabilization and smoother convergence compared with classical and single-fractional models. The findings demonstrate that the proposed piecewise mABC framework offers a realistic and flexible mathematical tool for predicting corruption behavior and designing effective intervention strategies.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5747999

DOI: 10.1155/ddns/5747999

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