Original scientific paper
https://doi.org/10.21857/ygjwrcpxdy
Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications
Amira Ayari
; Lanos Laboratory, University of Badji-Mokhtar, Annaba, Algeria
Khaled Boukerrioua
; Lanos Laboratory, University of Badji-Mokhtar, Annaba, Algeria
Abstract
In this paper, we derive some generalizations of certain Grönwall-Bihari type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators for functions in one variable, which provide explicit bounds on unknown functions.To show the feasibility of the obtained inequalities, two illustrative examples are also introduced.
Keywords
Gronwall-type inequality; Cauchy problem; mean value theorem; generalized fractional operators
Hrčak ID:
283931
URI
Publication date:
27.9.2022.
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