Transient heat conduction problems are systematically applied to the fading memory formalism with different Mittag-Leffler-type kernels. With such an approach, using various memories naturally results in definitions of fractional operators. Six examples given and interpreted from a common perspective, covering most well-liked versions Mittag-Leffler function. The approach was used as template d...

Abstract We present unified versions of Minkowski-type fractional integral inequalities with the help operator based on a Mittag-Leffler function. These provide new as well already known inequalities.