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Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions

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  • Phollakrit Thiramanus
  • Sotiris K. Ntouyas
  • Jessada Tariboon

Abstract

We study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and nonlocal fractional integral boundary conditions. Our results are based on some classical fixed point theorems. Some illustrative examples are also included.

Suggested Citation

  • Phollakrit Thiramanus & Sotiris K. Ntouyas & Jessada Tariboon, 2014. "Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, June.
    • Handle: RePEc:hin:jnlaaa:902054
    DOI: 10.1155/2014/902054
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    Cited by:

    1. Abbas, Saïd & Benchohra, Mouffak & Lazreg, Jamal-Eddine & Zhou, Yong, 2017. "A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 47-71.

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