4.4 Article

Monotone Iterative Method for a Class of Nonlinear Fractional Differential Equations on Unbounded Domains in Banach Spaces

Journal

FILOMAT
Volume 31, Issue 5, Pages 1331-1338

Publisher

UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL1705331Z

Keywords

Nonlinear fractional integro-differential equations; Ordered Banach spaces; Cone theory and partial ordering; Monotone iterative technique; Infinite interval

Funding

  1. NNSF of China [11501342]
  2. Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi [2014135, 2014136]

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In this paper, weinvestigate the existence of minimal nonnegative solution for a class of nonlinear fractional integro-differential equations on semi-infinite intervals in Banach spaces by applying the cone theory and the monotone iterative technique. An example is given for the illustration of main results.

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