Abstract
In this paper the complexity of identification of sharp local density loss in the framework of the space-fractional continuum mechanics (s-FCM) is presented. The linear dynamic solution in the form of eigenproblem is chosen as a main factor in the objective function - both eigenvalues and eigenmodes are considered. It is shown that the solution space is extremely complicated and densely covered with local minima. The obtained results aim in the classification of the problem hardness versus s-FCM fundamental parameters, namely fractional body order and length scale.
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This work is supported by the National Science Centre, Poland, under Grant No. 2017/27/B/ST8/00351.
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Szajek, K., Sumelka, W. (2020). Complexity of an Identification Problem of Sharp Local Density Loss in Fractional Body. In: Malinowska, A., Mozyrska, D., Sajewski, Ł. (eds) Advances in Non-Integer Order Calculus and Its Applications. RRNR 2018. Lecture Notes in Electrical Engineering, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-030-17344-9_21
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DOI: https://doi.org/10.1007/978-3-030-17344-9_21
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