Mathematical modeling study demonstrates the identification of time-dependent coefficients in fractional bi-flux systems, highlighting the effectiveness of contraction mapping algorithms.
Fractional calculus has recently emerged as a powerful mathematical framework for modelling complex systems. Despite its mathematically intricate foundation, it serves as a generalization of classical differentiation andintegration, extending these operations to arbitrary, non-integer (fractional) orders. This study investigates the identification of time-dependent coefficient in a time-fractional Bi-flux equation using interior point measurement within the spatial domain, employing the contraction mapping principle and explore numerical solutions by creating numerical algorithms and testing examples.
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Huntul et al. (2026) studied this question.
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