4.4 Article

METHOD OF UPPER AND LOWER SOLUTIONS FOR COUPLED SYSTEM OF NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENTS

Journal

MATHEMATICA SLOVACA
Volume 67, Issue 1, Pages 89-98

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/ms-2016-0250

Keywords

monotone iterative method; upper and lower solutions; Riemann-Liouville fractional derivatives; system of nonlinear fractional integro-differential equations

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Funding

  1. Goverment of Spain [MTM2010-16499]

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In this paper, by means of upper and lower solutions, we develop monotone iterative method for the existence of extremal solutions for coupled system of nonlinear fractional integrodifferential equations with advanced arguments. We illustrate this technique with the help of an example. (C)2017 Mathematical Institute Slovak Academy of Sciences

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