The zeros of the solutions of the fractional oscillation equation

DOI10.2478/s13540-014-0152-xzbMath1312.34075OpenAlexW2073316803MaRDI QIDQ2347387

Shouzhong Fu, Jun-Sheng Duan, Zhong Wang

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-014-0152-x

zbMATH Keywords

Mittag-Leffler functionfractional calculusfractional differential equationfractional oscillation equationzero of function

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Laplace transform (44A10) Fractional ordinary differential equations (34A08)

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A free fractional viscous oscillator as a forced standard damped vibration ⋮ A detailed analysis for the fundamental solution of fractional vibration equation ⋮ Existence of nonoscillatory solutions for fractional neutral differential equations ⋮ Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals ⋮ Oscillation for fractional partial differential equations ⋮ Existence of nonoscillatory solutions for fractional functional differential equations ⋮ Exact solutions of fractional order oscillation equation with two fractional derivative terms ⋮ Identification of system with distributed-order derivatives ⋮ Stokes' second problem of viscoelastic fluids with constitutive equation of distributed-order derivative

Cites Work

• Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method
• Mittag-Leffler functions and their applications
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• On Mittag-Leffler-type functions in fractional evolution processes
• On the real zeros of functions of Mittag-Leffler type
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• On the oscillation of fractional differential equations
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