TY - JOUR
AU - Kerbal, S.
AU - Tatar, N.
PY - 2024/06/30
Y2 - 2024/11/09
TI - Stability of a fractional heat equation with memory
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 16
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.16.1.328-345
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/5722
SP - 328-345
AB - <p>Of concern is a fractional differential problem of order between zero and one. The model generalizes an existing well-known problem in heat conduction theory with memory. First, we justify the replacement of the first order derivative by a fractional one. Then, we establish a Mittag-Leffler stability result for a class of heat flux relaxation functions. We will combine the energy method with some properties from fractional calculus.</p>
ER -