New perspectives on Hepatitis C model with Piecewise Derivative: Deterministic and Stochastic Approaches
Keywords:
Hepatit-C model, piecewise derivative, stochastic approaches, existence and uniqueness.Abstract
In this paper, we have extensively explored deterministic-stochastic approaches of the Hepatitis C model using piecewise fractional operators techniques. This new concept leads us to capture many behaviors from cross-over to random processes. The piecewise differential operators that can be constructed from deterministic to stochastic patterns showed us their innovative aspects. To illustrate the effectiveness of the proposed approach, graphical representations for such a model are provided. As a result, it is concluded that these operators allow us to adapt more effectively to the realistic tendencies of real-world problems. Due to the property of capturing different behaviours at different time intervals, these operators have opened new doors for research in different disciplines.
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