Existence and Stability Results on Hadamard Type Fractional Time-Delay Semilinear Differential Equations
Keyword(s):
A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag–Leffler type matrix function with a logarithm and delayed Mittag–Leffler type matrix function. With the help of this introduced delayed perturbation of the Mittag–Leffler type matrix function with a logarithm, we provide an explicit form for solutions to non-homogeneous Hadamard-type fractional time-delay linear differential equations. We also examine the existence, uniqueness, and Ulam–Hyers stability of Hadamard-type fractional time-delay nonlinear equations.
1977 ◽
Vol 8
(1)
◽
pp. 117-119
2004 ◽
Vol 17
(10)
◽
pp. 1177-1181
◽
1976 ◽
Vol 18
(1)
◽
pp. 25-35
◽
Keyword(s):
2005 ◽
Vol 52
(10)
◽
pp. 701-705
◽
Keyword(s):
1985 ◽
Vol 93
(2)
◽
pp. 272-272
◽