Open Mathematics (May 2019)

An investigation of fractional Bagley-Torvik equation

  • Fazli Hossein,
  • Nieto Juan J.

DOI
https://doi.org/10.1515/math-2019-0040
Journal volume & issue
Vol. 17, no. 1
pp. 499 – 512

Abstract

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In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution. Our results rely on an appropriate fixed point theorem in partially ordered normed linear spaces. Illustrative examples are included to demonstrate the validity and applicability of our technique.

Keywords