Turkish Journal of Mathematics
DOI
10.3906/mat-1905-23
Abstract
The standard Caputo fractional derivative is generalized for the piecewise continuous functions. A more general boundary value problem for the impulsive Langevin fractional differential equation involving the Caputo fractional derivatives is studied. New existence results for solutions of concerned problems are established.
Keywords
Impulsive fractional Langevin equation, boundary value problem, integral equation, Caputo fractional derivative
First Page
2451
Last Page
2472
Recommended Citation
LIU, YUJI and Agarwal, Ravi
(2019)
"Existence of solutions of BVPs for impulsive fractional Langevin equations involving Caputo fractional derivatives,"
Turkish Journal of Mathematics: Vol. 43:
No.
5, Article 32.
https://doi.org/10.3906/mat-1905-23
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss5/32