Existence and stability results for fractional boundary value problems in Banach spaces
摘要
In this work, the existence and uniqueness of solutions for nonlinear fractional jerk type problem with nonlocal boundary conditions are investigated by using Banach’s contraction mapping principle and Leray–Schauder’s alternative. Also we use the generalized singular Gronwall’s inequality to establish Ulam–Mittag-Leffler stability results. Lastly, two examples are presented to illustrate our results.