IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n423796.html

Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower‐Order Derivative

Author

Listed:
  • Xiaoyou Liu
  • Zhenhai Liu

Abstract

This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower‐order fractional derivative with fractional (non)separated boundary conditions. The cases of convex‐valued and non‐convex‐valued right‐hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results.

Suggested Citation

  • Xiaoyou Liu & Zhenhai Liu, 2012. "Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower‐Order Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:423796
    DOI: 10.1155/2012/423796
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/423796
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/423796?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
    ---><---

    References listed on IDEAS

    as
    1. Bashir Ahmad & Sotiris K. Ntouyas, 2012. "A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Ntouyas, Sotiris K. & Etemad, Sina, 2015. "On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 235-243.
    2. Agarwal, Ravi P. & Baleanu, Dumitru & Hedayati, Vahid & Rezapour, Shahram, 2015. "Two fractional derivative inclusion problems via integral boundary condition," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 205-212.
    3. Yiliang Liu & Liang Lu, 2013. "A Class of Fractional p‐Laplacian Integrodifferential Equations in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Zhenhai Liu & Rui Wang, 2013. "A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

    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. Xi Fu & Xiaoyou Liu, 2013. "Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Mabrouk Bragdi & Amar Debbouche & Dumitru Baleanu, 2013. "Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).
    3. Mourad Kerboua & Amar Debbouche & Dumitru Baleanu, 2013. "Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Bashir Ahmad & Juan J. Nieto & Ahmed Alsaedi & Nadia Mohamad, 2013. "On a New Class of Antiperiodic Fractional Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Xiaoyou Liu & Xi Fu, 2012. "Control Systems Described by a Class of Fractional Semilinear Evolution Equations and Their Relaxation Property," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

    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:wly:jnlaaa:v:2012:y:2012:i:1:n:423796. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.