An Extension of the Fractional Gronwall Inequality

  • Ricardo Almeida
  • Agnieszka B. Malinowska
  • Tatiana OdzijewiczEmail author
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 559)


In this work, we prove a generalization of the Gronwall type inequality. This relation can be used in the qualitative analysis of the solutions to fractional differential equations with the \(\psi \)-fractional derivatives.


Fractional operators Gronwall type inequality 



R. Almeida is supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), within project UID/MAT/04106/2019. A. B. Malinowska is supported by the Bialystok University of Technology grant S/WI/1/2016 and T. Odzijewicz by the Warsaw School of Economics grant KAE/S18/08/18.


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Authors and Affiliations

  1. 1.Center for Research and Development in Mathematics and Applications (CIDMA), Department of MathematicsUniversity of AveiroAveiroPortugal
  2. 2.Faculty of Computer ScienceBialystok University of TechnologyBiałystokPoland
  3. 3.Department of Mathematics and Mathematical EconomicsWarsaw School of EconomicsWarsawPoland

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