Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications

Abstract

. In 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.