SOME NEW GRONWALL-BIHARI TYPE INEQUALITIES ASSOCIATED WITH GENERALIZED FRACTIONAL OPERATORS AND APPLICATIONS

Amira AyariKhaled Boukerrioua2022-11-272022-11-272022-11-27https://dspace.univ-annaba.dz//handle/123456789/699In this paper, we derive some generalizations of certain Gronwall-Bihari type inequality for generalized fractional operators uni- fying 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.SOME NEW GRONWALL-BIHARI TYPE INEQUALITIES ASSOCIATED WITH GENERALIZED FRACTIONAL OPERATORS AND APPLICATIONSArticle