μ-pseudo almost automorph mild solutions to the fractional integro-differential equation with uniform continuity
Abstract Our aim in the article is to study the existence of μ-pseudo almost automorph mild solutions to the following fractional integro-differential equation: Dαu(t)=Au(t)+∫−∞ta(t−s)Au(s)ds+f(t,u(t)),t∈R, $$ D^{\alpha}u(t)=Au(t)+ \int_{-\infty}^{t}a(t-s)Au(s)\,ds+f\bigl(t,u(t)\bigr), \quad t\in\ma...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-02-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1518-x |