MMN-3702
New existence and uniqueness result for fractional Bagley-Torvik differential equation
Hamid Baghani; Michal Feckan; Javad Farokhi-Ostad; Jehad Alzabut;Abstract
Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499–512], we establish
new existence and uniqueness result for a type of fractional Bagley–Torvik differential
equation. Reported result not only generalizes previous results but also adopts different technique.
We finish this study by concluding remarks which discuss the preference of our theorem
compared to previous results. An example is constructed with specific parameters that requires
weaker conditions for the existence of a unique solution. Meanwhile, we construct an iterative
sequence that converges to the unique solution and can not be commented via the results of Fazli
and Nieto.
Vol. 23 (2022), No. 2, pp. 537-549
DOI: 10.18514/MMN.2022.3702