Zhang, LihongLiu, YuchuanNieto Roig, Juan JoséWang, Guotao2023-11-132023-11-132023-07-17Rend. Circ. Mat. Palermo, II. Ser (2023)0009-725Xhttp://hdl.handle.net/10347/31268In this content, we investigate a class of fractional parabolic equation with general nonlinearities ∂z(x, t) ∂t − ( + λ) β 2 z(x, t) = a(x1) f (z), where a and f are nondecreasing functions. We first prove that the monotone increasing property of the positive solutions in x1 direction. Based on this, nonexistence of the solutions are obtained by using a contradiction argument. We believe these new ideas we introduced will be applied to solve more fractional parabolic problems.eng© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were madeAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Fractional parabolic equationGeneral nonlinearityTempered fractional LaplacianMonotonicityjournal article10.1007/s12215-023-00932-11973-4409open access