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Averaging Principle of ABC Fractional Stochastic Differential Equations with Rosenblatt Process - Controllability Analysis |
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PP: 209-220 |
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doi:10.18576/amis/190118
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Author(s) |
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M. Lavanya,
B. Sundara Vadivoo,
Kottakkaran Sooppy Nisar,
Yousef A.Baker El-Ebiary,
Ahmed M. Shehata,
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Abstract |
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| The controllability analysis of an averaging technique is investigated using the Rosenblatt process for the Atangana-Baleanu-Caputo fractional derivative (ABC derivative) system. The results of the distinctive averaged system can be used to find solutions to the underlying system’s problems in terms of convergence in mean square and probability. Furthermore, by employing the Banach contraction principle, controllability results are proven. Also, numerical examples are given to demonstrate the theoretical findings.
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