Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory
نویسندگان
چکیده
Abstract In this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator approximated by means modified basic rules numerical integration. three proposed methods are based on polynomial interpolation: piecewise constant, linear, and quadratic interpolation. errors generated described experimental rate convergence reported. Finally, an application space-dependent in continuum mechanics depicted.
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ژورنال
عنوان ژورنال: Meccanica
سال: 2021
ISSN: ['1572-9648', '0025-6455']
DOI: https://doi.org/10.1007/s11012-021-01364-w