IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n826580.html

Positive and Nondecreasing Solutions to an m‐Point Boundary Value Problem for Nonlinear Fractional Differential Equation

Author

Listed:
  • I. J. Cabrera
  • J. Harjani
  • K. B. Sadarangani

Abstract

We are concerned with the existence and uniqueness of a positive and nondecreasing solution for the following nonlinear fractional m‐point boundary value problem: D0+αu(t)+f(t,u(t))=001230001,

Suggested Citation

  • I. J. Cabrera & J. Harjani & K. B. Sadarangani, 2012. "Positive and Nondecreasing Solutions to an m‐Point Boundary Value Problem for Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:826580
    DOI: 10.1155/2012/826580
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/826580
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/826580?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. J. Caballero & J. Harjani & K. Sadarangani, 2011. "Uniqueness of Positive Solutions for a Class of Fourth‐Order Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. J. Caballero & J. Harjani & K. Sadarangani, 2011. "Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-13, May.
    3. J. Caballero & J. Harjani & K. Sadarangani, 2011. "Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-12, July.
    4. J. Caballero & J. Harjani & K. Sadarangani, 2011. "Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    5. Moustafa El-Shahed, 2007. "Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2007, pages 1-8, October.
    6. Wenyong Zhong, 2010. "Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-15, January.
    7. Moustafa El-Shahed, 2007. "Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
    8. Wenyong Zhong, 2010. "Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    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. J. Caballero & I. Cabrera & K. Sadarangani, 2012. "Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Mohamed Jleli & Erdal Karapinar & Bessem Samet, 2014. "Positive Solutions for Multipoint Boundary Value Problems for Singular Fractional Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Weihua Jiang & Jiqing Qiu & Weiwei Guo, 2012. "The Existence of Positive Solutions for Fractional Differential Equations with Sign Changing Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Yanli Chen & Yongxiang Li, 2014. "The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. R. Darzi & B. Mohammadzadeh & A. Neamaty & D. Bǎleanu, 2013. "Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. N. I. Mahmudov & S. Unul, 2014. "Existence of Solutions of α ∈ (2,3] Order Fractional Three‐Point Boundary Value Problems with Integral Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Mujeeb Ur Rehman & Rahmat Ali Khan, 2010. "Positive Solutions to Nonlinear Higher‐Order Nonlocal Boundary Value Problems for Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    8. Gonca Durmaz & Gülhan Mınak & Ishak Altun, 2014. "Fixed Point Results for α‐ψ‐Contractive Mappings Including Almost Contractions and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    9. Hongjie Liu & Xiao Fu & Liangping Qi, 2014. "Existence of Positive Solutions for a Kind of Fractional Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    10. Ravi P. Agarwal & Petio S. Kelevedjiev, 2020. "On the Solvability of Fourth-Order Two-Point Boundary Value Problems," Mathematics, MDPI, vol. 8(4), pages 1-19, April.
    11. Wenyong Zhong & Lanfang Wang, 2015. "Monotone and Concave Positive Solutions to Three‐Point Boundary Value Problems of Higher‐Order Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    12. Chuanzhi Bai, 2010. "Existence of Positive Solutions for a Functional Fractional Boundary Value Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    13. Serry, Mohamed A. & Peterson, Sean D. & Liu, Jun, 2025. "Static Euler–Bernoulli beams with contact forces: Existence, uniqueness, and numerical solutions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 238(C), pages 269-279.
    14. Wenyong Zhong, 2010. "Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    15. Hao Tao & Meichen Fu & Ru Qian, 2012. "Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    16. Han, Zhenlai & Lu, Hongling & Zhang, Chao, 2015. "Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 526-536.
    17. Rui Li & Haoqian Zhang & Hao Tao, 2013. "Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(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:826580. 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.