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Existence Results for Solutions of Nonlinear Fractional Differential Equations

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  • Ali Yakar
  • Mehmet Emir Koksal

Abstract

This paper deals with theoretical and constructive existence results for solutions of nonlinear fractional differential equations using the method of upper and lower solutions which generate a closed set. The existence of solutions for nonlinear fractional differential equations involving Riemann-Liouville differential operator in a closed set is obtained by utilizing various types of coupled upper and lower solutions. Furthermore, these results are extended to the finite systems of nonlinear fractional differential equations leading to more general results.

Suggested Citation

  • Ali Yakar & Mehmet Emir Koksal, 2012. "Existence Results for Solutions of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, May.
    • Handle: RePEc:hin:jnlaaa:267108
    DOI: 10.1155/2012/267108
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