MMN-1203
Pseudo asymptotic behavior of mild solution for semilinearfractional integro-differential equations
Abstract
In this paper, by the weighted ergodic function based on the measure theory, we study the pseudo asymptotic behavior of mild solution for semilinear fractional integro-differential equations. The existence, unique of $\mu$-pseudo anti-periodic ($\mu$-pseudo periodic, $\mu$-pseudo almost periodic, $\mu$-pseudo automorphic) solution are investigated. Moreover, an application to fractional partial differential equations is given.
Vol. 16 (2015), No. 1, pp. 553-563
DOI: 10.18514/MMN.2015.1203