What does this research mean for the field?

Applying fractal-fractional derivatives with a power-law kernel to classical financial models reveals complex chaotic patterns and behaviors in financial market volatility that are not evident in standard classical-order models. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

September 8, 2026Journal of Environmental Accounting and Management

Chaotic Dynamics in Financial Systems Using Fractal-Fractional Derivatives with a Power-Law Kernel

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Authors

RGR. Gandhimathi AGA. Gowrisankar

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Implication

Computational modeling analysis demonstrates complex chaotic dynamics in nonlinear financial systems, highlighting improved frameworks for market volatility and risk assessment.

Key Points

To formulate and analyze a chaotic financial model using fractal-fractional derivatives with a power-law kernel to characterize complex economic dynamics.
Extended a classical financial model composed of nonlinear coupled ordinary differential equations into the fractal-fractional domain using a power-law kernel.
Conducted theoretical proofs to determine system equilibrium points, prove existence and uniqueness of solutions, and establish Ulam stability.
Performed numerical simulations evaluating system trajectories under varying fractional and fractal orders.
Established mathematical proofs confirming the existence, uniqueness, and Ulam stability of solutions in the fractal-fractional financial system.
Demonstrated through simulations that altering fractal and fractional orders produces complex chaotic behaviors and structural shifts not captured by classical-order differential models.

Cite This Study

Gandhimathi et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd7c658e84d0ff5b46c56 https://doi.org/10.5890/jeam.2027.03.010

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Implication

Computational modeling analysis demonstrates complex chaotic dynamics in nonlinear financial systems, highlighting improved frameworks for market volatility and risk assessment.

Chaotic Dynamics in Financial Systems Using Fractal-Fractional Derivatives with a Power-Law Kernel

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Implication

Key Points

Cite This Study

Chaotic Dynamics in Financial Systems Using Fractal-Fractional Derivatives with a Power-Law Kernel

Discussion

Member takes

Implication

Key Points

Cite This Study

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