Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay

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Abstract

A nonlinear Riemann–Liouville fractional differential equation with constant delay is studied. Initially, some existence results are proved. Three Ulam type stability concepts are defined and studied. Several sufficient conditions are obtained. Some of the obtained results are illustrated on fractional biological models.

Original languageEnglish
Article number67
Pages (from-to)1-18
Number of pages18
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume2020
Issue number67
DOIs
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Constant delay
  • Existence
  • Initial value problem
  • Riemann–Liouville fractional derivative
  • Ulam type stability

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