Newtonian law with memory

被引：63

作者：

Baleanu, Dumitru ^{[1
,2
]}

Golmankhaneh, Alireza K. ^{[3
]}

Golmankhaneh, Ali K. ^{[3
]}

Nigmatullin, Raoul R. ^{[4
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[2] Inst Space Sci, Magurele 76900, Romania

[3] Islamic Azad Univ, Oromiyeh Branch, Dept Phys, Oromiyeh, Iran

[4] Kazan VI Lenin State Univ, Dept Theoret Phys, Kazan 420008, Tatarstan, Russia

来源：

NONLINEAR DYNAMICS | 2010年 / 60卷 / 1-2期

关键词：

Fractional Newtonian mechanics; Fractional derivatives; Equations with memory; EULER-LAGRANGE EQUATIONS; HAMILTONIAN-FORMULATION; FRACTIONAL KINETICS; FORMALISM; MECHANICS; SYSTEMS;

D O I：

10.1007/s11071-009-9581-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this study we analyzed the Newtonian equation with memory. One physical model possessing memory effect is analyzed in detail. The fractional generalization of this model is investigated and the exact solutions within Caputo and Riemann-Liouville fractional derivatives are reported.

引用

页码：81 / 86

页数：6

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