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

• Autores: Mohammed D. Kassim, Thabet Abdeljawad
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
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• Resumen

  • 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.