Study of implicit delay fractional differential equations under anti-periodic boundary conditions

[摘要] This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions. With the help of classical fixed point theory due to Schauder and Banach, we derive some results about the existence of at least one solution. Further, we also study some results including Hyers–Ulam, generalized Hyers–Ulam, Hyers–Ulam Rassias, and generalized Hyers–Ulam–Rassias stability. We provide some test problems for illustrating our analysis.

[学科分类] 航空航天科学

[关键词] Pantograph differential equation;Existence theory;Hyers–Ulam stability