TY - JOUR
T1 - On representation of solutions of abstract fractional differential equations
AU - Krishnan, Balachandran
AU - Rajendran, Mabel Lizzy
AU - Trujillo, Juan J.
PY - 2019
Y1 - 2019
N2 - In this paper we discuss about the solution representation of abstract fractional differential equations with different conditions on the operator A. The solution representation obtained by using Mittag-Leffler function is correct when the operator A is bounded. However when the operator A is unbounded the representation derived in [1] seems to be incorrect. We also obtain a suitable form of solution to stochastic fractional differential equation with unbounded operators.
AB - In this paper we discuss about the solution representation of abstract fractional differential equations with different conditions on the operator A. The solution representation obtained by using Mittag-Leffler function is correct when the operator A is bounded. However when the operator A is unbounded the representation derived in [1] seems to be incorrect. We also obtain a suitable form of solution to stochastic fractional differential equation with unbounded operators.
U2 - 10.5890/JAND.2019.12.012
DO - 10.5890/JAND.2019.12.012
M3 - Article
SN - 2164-6457
JO - Journal of Applied Nonlinear Dynamics
JF - Journal of Applied Nonlinear Dynamics
ER -