Asymptotic behavior of solutions of forced fractional differential equations

作者：Grace Said R; Graef John R^*; Tunc Ercan

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2016, (71): 1-10.

DOI：10.14232/ejqtde.2016.1.71

• integro-differential equations
• fractional differential equations
• asymptotic behavior
• nonoscillatory solutions

The authors study the boundedness of nonoscillatory solutions of forced fractional differential equations of the form
(C)D(c)(alpha)y(t) = e(t) + f(t, x(t)), c > 1, alpha is an element of (0, 1),
where y(t) = (a(t)x'(t))', c(0) = y(c)/Gamma(1) = y (c), and c(0) is a real constant. The technique used in obtaining their results will apply to related fractional differential equations with Caputo derivatives of any order. Examples illustrate the results obtained in this paper.

• 出版日期2016