MMN-5186
Impulsive Basset fractional differential equation with nonlinear boundary condition
Weibing Wang; Piao Liu;Abstract
In this paper, we consider the existence of solutions for a class of impulsive Basset fractional differential equation with nonlinear boundary condition. Using the comparison principle established and Schauder$^,$s fixed point theorem, we show that the problem has at least a solution
between the upper and lower solution under appropriate conditions. Meanwhile, the existence of extreme
solutions is obtained by means of quasilinearization technique. Finally, two examples are presented to illustrate the applicability of our main
results.
Vol. 27 (2026), No. 1, pp. 425-440