General uniqueness and monotone iterative technique for fractional differential equations

نویسندگان

  • V. Lakshmikantham
  • Aghalaya S. Vatsala
چکیده

In this paper, the general existence and uniqueness result is proved which exhibits the idea of comparison principle. This result is also valid for fractional differential equations in a Banach space. The well-known monotone iterative technique is then extended for fractional differential equations which provides computable monotone sequences that converge to the extremal solutions in a sector generated by upper and lower solutions. c © 2007 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2008