IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v191y1992i1p449-453.html
   My bibliography  Save this article

Fractional diffusion equation and relaxation in complex viscoelastic materials

Author

Listed:
  • Giona, Massimiliano
  • Cerbelli, Stefano
  • Roman, H.Eduardo

Abstract

A fractional equation describing relaxation phenomena in complex viscoelastic materials is derived by employing a formal analogy between linear viscoelasticity and difusion in a disordered structure. From this analogy, a power-law relaxation follows which is in agreement with experimental results obtained in many complex viscoelastic materials.

Suggested Citation

  • Giona, Massimiliano & Cerbelli, Stefano & Roman, H.Eduardo, 1992. "Fractional diffusion equation and relaxation in complex viscoelastic materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 449-453.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:449-453
    DOI: 10.1016/0378-4371(92)90566-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437192905669
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(92)90566-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jürgen Geiser & Eulalia Martínez & Jose L. Hueso, 2020. "Serial and Parallel Iterative Splitting Methods: Algorithms and Applications to Fractional Convection-Diffusion Equations," Mathematics, MDPI, vol. 8(11), pages 1-42, November.
    2. Li, Zhiyuan & Liu, Yikan & Yamamoto, Masahiro, 2015. "Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 381-397.
    3. Vikram Singh & Dwijendra N. Pandey, 2020. "Exact Controllability of Multi-Term Time-Fractional Differential System with Sequencing Techniques," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(1), pages 105-120, March.
    4. Yongpeng Tai & Ning Chen & Lijin Wang & Zaiyong Feng & Jun Xu, 2020. "A Numerical Method for a System of Fractional Differential-Algebraic Equations Based on Sliding Mode Control," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
    5. Sun, Yuting & Hu, Cheng & Yu, Juan & Shi, Tingting, 2023. "Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    6. Zeid, Samaneh Soradi, 2019. "Approximation methods for solving fractional equations," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 171-193.
    7. Yan, Xiong-bin & Zhang, Zheng-qiang & Wei, Ting, 2022. "Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    8. Wei, T. & Li, Y.S., 2018. "Identifying a diffusion coefficient in a time-fractional diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 151(C), pages 77-95.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:449-453. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.