Fractional-differential equations of motion
Alexander I. Olemskoi (Sumy State University)
TL;DR
This paper introduces fractional differential equations of motion, exploring their physical applications and foundational concepts related to fractional integrals and derivatives.
Contribution
It presents an elementary system that leads to fractional calculus concepts and discusses various physical scenarios modeled by fractional differential equations.
Findings
Connection between elementary systems and fractional calculus
Application examples in physical systems
Discussion of fractional derivatives in motion equations
Abstract
An elementary system leading to the notions of fractional integrals and derivatives is considered. Various physical situations whose description is associated with fractional differential equations of motion are discussed.
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Taxonomy
TopicsFractional Differential Equations Solutions · Nonlinear Waves and Solitons · Numerical methods for differential equations