Abstract
The purpose of the work is to investigate the topological structure of the solution set of an initial value problems for nonlinear fractional differential equations in Banach space. We prove that the solution set of the problem is nonempty, compact and, an \(R_\delta \)-set by introducing a new regular measure of noncompactness in the weighted space of continuous functions.
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Ziane, M. On the Solution Set for Weighted Fractional Differential Equations in Banach Spaces. Differ Equ Dyn Syst 28, 419–430 (2020). https://doi.org/10.1007/s12591-016-0338-2
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DOI: https://doi.org/10.1007/s12591-016-0338-2
Keywords
- Fractional differential equation
- Measure of noncompactness
- Condensing map
- \(R_\delta \)-set
- Topological structure