On Using Piecewise Fractional Differential Operator to Study a Dynamical System
نویسندگان
چکیده
This research work is devoted to undertaking a dynamical system representing SARS-CoV-19 disease under the concept of piecewise fractional-order derivative using Caputo since long-memory and short-memory terms are not well explained by ordinary fractional differential equations. It has been found that for such disruption, operators derivatives have useful in many cases. Therefore, we study compartmental model susceptible infected individuals derivative. We establish existence theory considered some Banach Schauder fixed-point theorems. Keeping importance stability, pertinent result related said area also developed. The stability based on given Ulam Hyers. Further, derive numerical results, use Euler method develop scheme model. Using real available data, presented various graphical presentations two compartments against different orders values isolation parameters. crossover behaviors dynamics can be clearly observed, which operators, usual
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ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12030292