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- W2808903441 abstract "We investigate some basic applications of FractionalCalculus (FC) to Newtonian mechanics. After a brief review of FC, we consider apossible generalization of Newton’s second law of motion and apply it to thecase of a body subject to a constant force. In our second application of FC toNewtonian gravity, we consider a generalized fractional gravitational potentialand derive the related circular orbital velocities. This analysis might be usedas a tool to model galactic rotation curves, in view of the dark matterproblem. Both applications have a pedagogical value in connecting fractionalcalculus to standard mechanics and can be used as a starting point for a moreadvanced treatment of fractional mechanics." @default.
- W2808903441 created "2018-06-29" @default.
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- W2808903441 date "2018-04-15" @default.
- W2808903441 modified "2023-09-26" @default.
- W2808903441 title "Applications of Fractional Calculus to Newtonian Mechanics" @default.
- W2808903441 hasPublicationYear "2018" @default.
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