Author

Muhammad Imran Liaqat

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Open access Oct 2026

Fractional Stochastic Difference Systems: Well-Posedness, Stability, Perturbation Analysis, and Macroeconomic Application

We investigate nonlinear Caputo–nabla fractional stochastic difference systems driven by independent Gaussian increments. The fractional summation identity yields an exact pathwise Volterra representation whose strictly causal structure establishes finite-horizon existence and pathwise uniqueness under measurability an...

Muhammad Imran Liaqat, A. Alsharidi · Axioms · 0 citations

Open access Sep 2026

On the Convergence of Slow-Fast Fractional McKean–Vlasov Stochastic Systems with Multivalued Operators

This article establishes a strong averaging principle for a class of slow-fast stochastic evolution systems that incorporate both McKean–Vlasov interactions and multivalued operators within a Hilbert-space variational framework. The slow variable υ evolves according to a Caputo fractional differential law of order ϱ∈(0...

Muhammad Imran Liaqat, A. Alsharidi · Fractal and Fractional · 0 citations