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math.AP2026
A convergence result for the master operator
Wenxiong Chen, Yahong Guo, Congming Li +1
In this paper, we establish a convergence result for the fully fractional heat operator $\ma{s}$, also known as the master operator, stated as follows: \[\mbox{If\ }u_i\to u\ \mbox…
math.AP2026
Monotonicity for the fractional semi-linear problem in a half space
Wenxiong Chen, Yahong Guo, Leyun Wu
In this paper, we study semilinear fractional equations in a half-space and prove that all positive solutions are strictly increasing in the -directi…
math.AP2026
Methods in studying qualitative properties of fractional equations
Wenxiong Chen, Yahong Guo, Congming Li
In this paper, we systematically review a series of effective methods for studying the qualitative properties of solutions to fractional equations. Beginning with the pioneering ex…