Weighted pseudo almost automorphic and S-asymptotically omega-periodic solutions to fractional difference-differential equation
We study weighted pseudo almost automorphic solutions for the nonlinear fractional difference equation $$ \Delta^{\alpha}u(n)=Au(n+1)+f(n, u(n)),\quad n\in \mathbb{Z}, $$ for $0<\alpha \leq 1$, where A is the generator of an $\alpha$-resolvent sequence $\{S_{\alpha}(n)\}_{n\in\mathbb{N}_0}$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/270/abstr.html |