IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n813903.html

Nonlocal Integrodifferential Boundary Value Problem for Nonlinear Fractional Differential Equations on an Unbounded Domain

Author

Listed:
  • Lihong Zhang
  • Bashir Ahmad
  • Guotao Wang
  • Ravi P. Agarwal
  • Maryem Al-Yami
  • Wafa Shammakh

Abstract

This paper investigates the existence of nonnegative solutions for nonlinear fractional differential equations with nonlocal fractional integrodifferential boundary conditions on an unbounded domain by means of Leray‐Schauder nonlinear alternative theorem. An example is discussed for the illustration of the main work.

Suggested Citation

  • Lihong Zhang & Bashir Ahmad & Guotao Wang & Ravi P. Agarwal & Maryem Al-Yami & Wafa Shammakh, 2013. "Nonlocal Integrodifferential Boundary Value Problem for Nonlinear Fractional Differential Equations on an Unbounded Domain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:813903
    DOI: 10.1155/2013/813903
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/813903
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/813903?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. Azizollah Babakhani, 2010. "Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-16, May.
    2. Azizollah Babakhani, 2010. "Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    3. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    5. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher‐Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    6. Yige Zhao & Shurong Sun & Zhenlai Han & Qiuping Li, 2011. "Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    7. Yige Zhao & Shurong Sun & Zhenlai Han & Qiuping Li, 2011. "Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-16, December.
    8. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, June.
    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. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Liping Wang & Zongfu Zhou & Hui Zhou, 2014. "Positive Solutions for Singular p‐Laplacian Fractional Differential System with Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Wenning Liu & Xingjie Yan & Wei Qi, 2014. "Positive Solutions for Coupled Nonlinear Fractional Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    4. Min Jiang & Shouming Zhong, 2014. "Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p‐Laplacian Operator," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Jiqiang Jiang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for Nonlinear Fractional Differential Equations with Boundary Conditions Involving Riemann‐Stieltjes Integrals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Yuanyuan Pan & Zhenlai Han & Shurong Sun & Yige Zhao, 2012. "The Existence of Solutions to a System of Discrete Fractional Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    7. Payam Nasertayoob & S. Mansour Vaezpour & Dumitru Baleanu, 2014. "Solvability for a Coupled System of Fractional Integrodifferential Equations with m‐Point Boundary Conditions on the Half‐Line," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Azizollah Babakhani & Dumitru Baleanu, 2012. "Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. Ali Yakar & Mehmet Emir Koksal, 2012. "Existence Results for Solutions of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    10. Xinguang Zhang & Lishan Liu & Benchawan Wiwatanapataphee & Yonghong Wu, 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    11. 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).
    12. 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).
    13. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "On Impulsive Boundary Value Problems of Fractional Differential Equations with Irregular Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    14. Qiuping Li & Shurong Sun & Ping Zhao & Zhenlai Han, 2012. "Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    15. Zeeshan Ali & Poom Kumam & Kamal Shah & Akbar Zada, 2019. "Investigation of Ulam Stability Results of a Coupled System of Nonlinear Implicit Fractional Differential Equations," Mathematics, MDPI, vol. 7(4), pages 1-26, April.
    16. Meysam Alvan & Rahmat Darzi & Amin Mahmoodi, 2016. "Existence Results for a New Class of Boundary Value Problems of Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 4(1), pages 1-10, March.
    17. Dandan Yang & Chuanzhi Bai, 2013. "Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half‐Line," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    18. Xingqiu Zhang & Lin Wang, 2012. "Nontrivial Solutions for a Class of Fractional Differential Equations with Integral Boundary Conditions and a Parameter in a Banach Space with Lattice," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    19. Jing Zhao & Peifen Lu & Yiliang Liu, 2013. "Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    20. Sotiris K. Ntouyas & Phollakrit Wongsantisuk & Ayub Samadi & Jessada Tariboon, 2024. "Hybrid System of Proportional Hilfer-Type Fractional Differential Equations and Nonlocal Conditions with Respect to Another Function," Mathematics, MDPI, vol. 12(7), pages 1-21, April.

    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:2013:y:2013:i:1:n:813903. 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.