Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results

Keywords

Fractional calculus, Viscoelasticity, Nonlinear system, Calculus (dental), Solid mechanics

References

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Cited by

• Nonlinear acoustic wave equations with fractional loss operators.三吉一光, 工藤恵理子, 神戸敏成 — 2011
• A fractional differential constitutive model for dynamic stress intensity factors of an anti-plane crack in viscoelastic materialsRuntao Zhan, Zhaoxia Li, Lei Wang — 2014
• Stochastic response of a class of self-excited systems with Caputo-type fractional derivative driven by Gaussian white noiseYong-Ge Yang, Wei Xu, Xudong Gu — 2015
• Fractional Sturm-Liouville boundary value problems in unbounded domains: Theory and applicationsHassan Khosravian‐Arab, Mehdi Dehghan, M.R. Eslahchi — 2015
• Initial conditions-independent limit cycles of a fractional-order van der Pol oscillatorQX Liu, Jiankang Liu, Yung‐Ming Chen — 2016
• Impact response of a viscoelastic beam considering the changes of its microstructure in the contact domainIvan I. Popov, Yury A. Rossikhin, Marina V. Shitikova — 2015
• Correcting the initialization of models with fractional derivatives via history-dependent conditionsMaolin Du, Zaihua Wang — 2016
• Investigations into the mechanics of connective tissueR. H. Pritchard — 2015
• On a system of equations arising in viscoelasticity theory of fractional typeTEODOR M. ATANACKOVI, Stevan Pilipovi ' c, Du ̆san Zoriˇca — 2012
• Dynamics of magnetic field penetration into soft ferromagnetsBenjamin Ducharne, Gaël Sebald, Daniel Guyomar — 2015
• Identification of Modal Loss Factor of a Sandwich Composite Structure with Polyethylene Terephthalate Core in the Aspect of Core Properties DeterminationKrzysztof Marynowski, Katarzyna Grochowska — 2015
• Size-dependent geometrically nonlinear free vibration analysis of fractional viscoelastic nanobeams based on the nonlocal elasticity theoryR. Ansari, M. Faraji Oskouie, R. Gholami — 2016
• DYNAMICAL BEHAVIOR OF AN AXIALLY MOVING STRING CONSTITUTED BY A FRACTIONAL DIFFERENTIATION LAWDuygu Dönmez Demir, B. Gültekin Sınır, Necdet Bıldık — 2015
• Center Manifold of Fractional Dynamical SystemLi Ma, Changpin Li — 2016
• Fractional order hybrid system dynamicsKatica R. Hedrih — 2013
• Fractional viscoelastic models: master curve construction, interconversion, and numerical approximationSamer W. Katicha, Gerardo W. Flintsch — 2012
• Solution procedure of residue harmonic balance method and its applicationsZhongjin Guo, A.Y.T. Leung, Xiaoyan Ma — 2014
• Two approaches for studying the impact response of viscoelastic engineering systems: An overviewYury A. Rossikhin, Marina V. Shitikova — 2013
• Numerical solution of fractional differential equations with a collocation method based on Müntz polynomialsShahrokh Esmaeili, M. Shamsi, Yury Luchko — 2011
• Nonlinear Random Vibrations of Beams with Fractional Derivative ElementsPol D. Spanos, Giovanni Malara — 2014

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