Solvability of Fractional Differential Equation with Nonlocal Boundary Conditions at Resonance

Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions

“…3) to estimate the prior bounds. For example [40][41][42][43]. Our results show that the first way is better than the second.…”

“…Besides, compared with [40][41][42][43], we used a different technique to prove that Ω 1 is bounded (see Lemma 3.4, the first way). By Remark 3.1, we show that the first way is superior to the second way used by [40][41][42][43]. Finally, our main results are well illustrated with the aid of several interesting examples.…”