On a variable-order fractional parabolic problem with L1−data
Salifou KORBEOGO, Tiyamba VALEA and Arouna OUEDRAOGO
Laboratoire de Mathématiques, Informatique et Applications, Université Norbert ZONGO, BP 376 Koudougou, Burkina Faso
Received on September 24, 2024, revised on March 24, 2025
Accepted on April 3, 2025
Communicated by Mahamadi Warma
| Abstract. In this paper, we discuss the existence and uniqueness of renormalized solution to variable-order fractional parabolic problems. The functional setting involves Lebesgue and variable-order Sobolev spaces. Some a-priori estimates are used to obtain our results. | |
| Keywords: | Existence and uniqueness of renormalized solution, parabolic problem, variable-order fractional p-Laplacian. |
| 2010 Mathematics Subject Classification: 35K59, 35K55, 35B40. | |