Concepedia

A new approach for the analysis solution of dynamic systems containing fractional derivative

Dong‐Pyo Hong, Young-Moon Kim, Jizeng Wang

Journal of Mechanical Science and Technology · 2006 · 18 citations · 17 references

Open access

Concepts

Natural SciencesMathematicsDerivativesDifferential EquationsDynamical SystemsContinuous Dynamical SystemsDynamic Systems AnalysisNonlinear DynamicsNumerical Methods For Differential EquationsStability TheoryDynamic Systems ApproachFractional Differential EquationsSecond-order Differential Equations

References

17

<i>Generalized Hypergeometric Functions</i>

L. J. Slater, Werner C. Rheinboldt · Physics Today · 1967 · 1.7K citations

Natural Sciences, Mathematics, Number Theory +3

Generalized Hypergeometric Functions

Y. L. L., L. J. Slater · Mathematics of Computation · 1966 · 1.6K citations

Fractional calculus - A different approach to the analysis of viscoelastically damped structures

Ronald L. Bagley, Peter J. Torvik · AIAA Journal · 1983 · 1.2K citations

Engineering, Materials Science, Mechanical Engineering +17

ON FRACTIONAL INTEGRALS AND DERIVATIVES

H. Kober · The Quarterly Journal of Mathematics · 1940 · 1.2K citations

Natural Sciences, Mathematics, Physics +11

An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives

Luis E. Suárez, A. Shokooh · Journal of Applied Mechanics · 1997 · 172 citations

Natural Sciences, Mechanical Engineering, Physics +17