Abstract:
In the article, we deal with the generalized proportional fractional integral, establish several kinds of inequalities such as Grüss-type and certain other inequalities by use of generalized proportional fractional integral. Moreover, several special cases are discussed. Also, we derive certain particular results by utilizing the connection between generalized proportional fractional integral and Riemann–Liouville integral. Furthermore, an illustrative example is presented to support our outcomes. © 2020, The Royal Academy of Sciences, Madrid.