1. Monotone iterative technique for multi-term time fractional measure differential equations.
- Author
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Gou, Haide and Shi, Min
- Subjects
- *
DIFFERENTIAL equations , *BANACH spaces , *FRACTIONAL differential equations - Abstract
In this paper, we investigate the existence and uniqueness of the S-asymptotically ω -periodic mild solutions to a class of multi-term time-fractional measure differential equations with nonlocal conditions in an ordered Banach spaces. Firstly, we look for suitable concept of S-asymptotically ω -periodic mild solution to our concern problem, by means of Laplace transform and (β , γ k) -resolvent family { S β , γ k (t) } t ≥ 0 . Secondly, we construct monotone iterative method in the presence of the lower and upper solutions to the delayed fractional measure differential equations, and obtain the existence of maximal and minimal S-asymptotically ω -periodic mild solutions for the mentioned system. Finally, as the application of abstract results, an example is given to illustrate our main results. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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