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Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions

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  • Zhang, Lihong
  • Ahmad, Bashir
  • Wang, Guotao

Abstract

This paper studies the existence of extremal solutions for nonlinear fractional differential equations with nonlinear integral boundary conditions and explores an explicit algorithm which converges to the extremal solutions of the problem at hand. An example is discussed for the illustration of the main work.

Suggested Citation

  • Zhang, Lihong & Ahmad, Bashir & Wang, Guotao, 2015. "Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 388-392.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:388-392
    DOI: 10.1016/j.amc.2015.06.049
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    References listed on IDEAS

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    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).
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