| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2023-0327 |
| Monotone iterative technique for fractional measure differential equations in ordered Banach spaces |
| Haide Gou |
| Keywords:Regulated functions, Henstock-Lebesgue-Stieltjes integral, measure differential equations, monotone iterative technique. |
| Abstract: |
| This article is based on the monotonic iterative method in the
presence of upper and lower solutions, and investigates the existence of Sasymptotic
ω-periodic mild solutions for a class of fractional measure differential
equations with nonlocal conditions in an ordered Banach spaces. Firstly,
in the case of upper and lower solutions, a monotonic iterative method is
constructed to obtain the maximal and minimal S-asymptotically ω-periodic
mild solution to our concern problem. Secondly, we establish an existence
result of S-asymptotically ω-periodic mild solutions for the mentioned without
assuming the existence of upper and lower S-asymptotically ω-periodic
mild solutions under generalized monotonic conditions and non compactness
measure conditions of nonlinear terms. Finally, as an application of abstract
results, an example is provided to illustrate our main findings. |
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