Hristov J.2024-07-102024-07-102024-07-102024-07-102023-03-012076-341710.3390/app13053065SCOPUS_ID:85149994060https://rlib.uctm.edu/handle/123456789/808Transient heat conduction problems are systematically applied to the fading memory formalism with different Mittag-Leffler-type memory kernels. With such an approach, using various memories naturally results in definitions of various fractional operators. Six examples are given and interpreted from a common perspective, covering the most well-liked versions of the Mittag-Leffler function. The fading memory approach was used as a template and demonstrated that, if the constitutive equations are correctly built, it is also possible to directly determine where the hereditary terms are located in the models.enArticle