Non-existence Results for a Nonlinear Fractional System of Differential Problems

Mohammed D. Kassim, Thabet Abdeljawad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The non-existence of solutions is discussed for a system of fractional differential equations including two types of fractional derivatives: the Caputo fractional derivative (CFD) and the Riemann–Liouville fractional derivative (RLFD). The nonlinear sources are nonlocal in time. The system we consider is more general than those previously discussed in the literature. Our results are obtained by using several properties of fractional derivatives, the test-function method and by applying some integral inequalities. Finally, we provide some examples to illustrate our findings.

Original languageEnglish
Article number17
JournalQualitative Theory of Dynamical Systems
Issue number1
Publication statusPublished - Feb 2024
Externally publishedYes


  • Caputo fractional derivative
  • Fractional differential equation
  • Fractional system
  • Global solution
  • Non-existence
  • Riemann–Liouville fractional derivative
  • Test function method


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