Geodesic
On the solvability of a fractional loaded heat conduction problem
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 82-97

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In this paper, we study a boundary-value problem for the loaded fractional heat equation; the loaded term is represented as the fractional Caputo derivative with respect to the time derivative.
Keywords: heat equation, fractional equation, fractional derivative. 
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M. T. Kosmakova; L. Zh. Kasymova. On the solvability of a fractional loaded heat conduction problem. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 82-97. http://geodesic.mathdoc.fr/item/INTO_2022_206_a7/