Generalization of Taylor's formula to particles of arbitrary inertia
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DOI: 10.1103/physrevfluids.3.104501
Abstract: One of the cornerstones of turbulent dispersion is the celebrated Taylor formula. This formula expresses the rate of transport (i.e. the eddy diffusivity) of a tracer as a time integral of the fluid velocity auto-correlation… read more here.
Keywords: formula; formula particles; generalization taylor; particles arbitrary ... See more keywords
Taylor's Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels
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DOI: 10.3390/axioms11050231
Abstract: We prove a new Taylor’s theorem for generalized weighted fractional calculus with nonsingular kernels. The proof is based on the establishment of new relations for nth-weighted generalized fractional integrals and derivatives. As an application, new… read more here.
Keywords: taylor formula; weighted fractional; nonsingular kernels; formula generalized ... See more keywords