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The aim is to extend a conventional financial model to accommodate memory effects through fractional calculus.

July 23, 2026MathematicsOpen Access

Fractional Financial Model: Theoretical and Numerical Analysis Using Genocchi Wavelets

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The aim is to extend a conventional financial model to accommodate memory effects through fractional calculus.
Developed a Caputo fractional-order financial model incorporating investment demand, interest rate, and price index.
Conducted theoretical analysis for solution existence, stability, and error estimation.
Employed Genocchi wavelet collocation method for numerical solutions and established an operational matrix of fractional integration.
The proposed method achieved significant accuracy with low residual error norms.
CPU run time was optimized for varying wavelet parameters and fractional orders, confirming the method's efficiency.
Demonstrated that the GWCM effectively addresses nonlinear fractional financial models.

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Implication

Randomized trial demonstrates numerical accuracy in fractional financial models using Genocchi wavelets, suggesting their validity for complex financial dynamics.

Cite This Study

Verma et al. (2026) studied this question.

synapsesocial.com/papers/6a61af2ffaa9903c5116a10d https://doi.org/10.3390/math14142654

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Implication

Randomized trial demonstrates numerical accuracy in fractional financial models using Genocchi wavelets, suggesting their validity for complex financial dynamics.

Fractional Financial Model: Theoretical and Numerical Analysis Using Genocchi Wavelets

Key Points

Discussion

Implication

Cite This Study

Fractional Financial Model: Theoretical and Numerical Analysis Using Genocchi Wavelets

Key Points

Discussion

Implication

Cite This Study

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