Looking at the datasheet of the two capacitors they seem quite similar and none is drastically different from the other with the main difference being the manufacturer, Vishay vs TDK.
Important parameters to look for in capacitors for these applications, apart from capacitance and voltage rating, is ESR, ripple current and temperature rating.
Equivalent Series Resistance (ESR)
ESR is a parasitic resistance that appears as in series with the capacitor. At high currents this will result in self heating of the capacitor and as a limiter of current that can flow in or out from the capacitor. You want to keep this as low as possible.
Ripple current
This is denoted as Iac and Ir in the datasheets, the lack of standardization of some of these parameter names is sometimes a bit confusing.
This parameter tells a recommended maximum continious AC current at a specified frequency that the capacitor can handle. Bigger ripple current is better if you intend to frequently charge and discharge the capacitor.
Temperature rating
Electrolytic capacitors is usually filled with a wet electrolyte and if this starts to dry or leak the capacitor will rapidly degrade. The ability to withstand higher temperatures usually indicates a longer lifespan of the capacitor. Looking at datasheets you usually will find graphs of expected lifetime in different temperatures. Also, here again the ESR comes into play, as even if the capacitor is situated in a not so warm environment the, the power lost due to the ESR will heat the capacitor from the inside and potentially rise the temperature and reduce the lifetime of the capacitor. The ESR also increases with age and hence creates a runaway scenario where the ESR increases as a effect of aging and the higher ESR increases temperature and thus gives a more rapid aging of the capacitor.
Frequency dependence
ESR and ripple current recommendations varies with frequency and at the bottom of both data sheets you will find some data about this, more in one and less in the other. With these tables a comparison of behavior at a specific frequency can be done, but as the same set of data is not present in both data sheets this can get a bit speculative.