IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v154y2022ics0960077921010055.html

Comments on “a novel approach to approximate fractional derivative with uncertain conditions”

Author

Listed:
  • Zhao, Lingdong
  • Chen, Yonghong

Abstract

In this paper, some comments are presented for the paper by Ahmadian A. etc (Chaos, Solitons & Fractals 104 (2017) 68–76). The Caputo-type derivative is approximated by a linearization formula in the mentioned paper. However, our research shows that this approach is incorrect and some counterexamples are presented to verify our analysis.

Suggested Citation

  • Zhao, Lingdong & Chen, Yonghong, 2022. "Comments on “a novel approach to approximate fractional derivative with uncertain conditions”," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    • Handle: RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921010055
    DOI: 10.1016/j.chaos.2021.111651
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921010055
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111651?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Ahmadian, A. & Salahshour, S. & Ali-Akbari, M. & Ismail, F. & Baleanu, D., 2017. "A novel approach to approximate fractional derivative with uncertain conditions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 68-76.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. HuiChol Choi & SungHyok Kwon & Kinam Sin & Sunae Pak & Sungryol So, 2019. "Constructive Existence of (1,1)‐Solutions to Two‐Point Value Problems for Fuzzy Linear Multiterm Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2019(1).
    2. Ahmed Salem & Noorah Mshary, 2020. "On the Existence and Uniqueness of Solution to Fractional‐Order Langevin Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    3. M. Bishehniasar & S. Salahshour & A. Ahmadian & F. Ismail & D. Baleanu, 2017. "An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations," Complexity, Hindawi, vol. 2017, pages 1-12, December.
    4. Salahshour, Soheil & Ahmadian, Ali & Allahviranloo, Tofigh, 2021. "A new fractional dynamic cobweb model based on nonsingular kernel derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    5. Fu, Chao & Zheng, Zhaoli & Zhu, Weidong & Lu, Kuan & Yang, Yongfeng, 2022. "Non-intrusive frequency response analysis of nonlinear systems with interval uncertainty: A comparative study," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    6. MohammadHossein Derakhshan, 2021. "A Numerical Scheme Based on the Chebyshev Functions to Find Approximate Solutions of the Coupled Nonlinear Sine‐Gordon Equations with Fractional Variable Orders," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).

    More about this item

    Keywords

    ;
    ;
    ;

    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:chsofr:v:154:y:2022:i:c:s0960077921010055. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.