IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v259y2015icp480-489.html
   My bibliography  Save this article

Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses

Author

Listed:
  • Gautam, Ganga Ram
  • Dabas, Jaydev

Abstract

This article contains the existence results of the mild solutions of an abstract semilinear neutral fractional differential equations with not instantaneous impulses. The results are proved by using the theory of analytic α-resolvent family and fixed point theorems. One application involving partial differential equations with impulses are presented.

Suggested Citation

  • Gautam, Ganga Ram & Dabas, Jaydev, 2015. "Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 480-489.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:480-489
    DOI: 10.1016/j.amc.2015.02.069
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315002696
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.02.069?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. Balasubramaniam, P., 2021. "Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Mallika Arjunan, M. & Abdeljawad, Thabet & Kavitha, V. & Yousef, Ali, 2021. "On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    3. Li, Mengmeng & Wang, JinRong, 2018. "Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 254-265.
    4. Jayanta Borah & Swaroop Nandan Bora, 2020. "Sufficient Conditions for Existence of Integral Solution for Non-Instantaneous Impulsive Fractional Evolution Equations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 1065-1082, September.
    5. Haide Gou & Tianxiang Wang, 2023. "The method of lower and upper solution for Hilfer evolution equations with non-instantaneous impulses," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(2), pages 499-523, June.
    6. Yang, Dan & Wang, JinRong & O’Regan, D., 2018. "A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 654-671.

    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:apmaco:v:259:y:2015:i:c:p:480-489. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.