It seems like you need an accumulator. This is an air reservoir (pressure tank) near the actuator. It has a function similar to the reservoir capacitor on a DC electrical supply. It smooths the pressure variations, and the discharge pipe can be sized to make sure the actuator gets sufficient flow to perform the task. If this is a commercially produced unit you should be able to get a spec for pressure and flow, presuming it is run within its ratings. Also check the operation is correct, e.g. lubrication, gumming up lubricants, worn or loose components, dirty or kinked pressure or discharge lines, etc.
Electric linear actuators are probably not ideal for this (in my thinking), unless the speed is slower than I think. The rating of 500N is fine, equivalent to lifting 110 pounds or 50kg weight, some are much bigger. Look up the link below for either products, or application analysis form. These work by using a motor and screw thread, and some sort of feedback. They are servos. The feedback is from a sensor like a potentiometer etc. Potentiometers have a short life in repetitive cycling. There is a voltage signal driving of appropriate frequency and shape to get stroke and oscillation speed. A sine wave oscillator.You will need to specify:
Expected lifetime (total operations or strokes at rated force)
Maximum continuous force in N (often in pnds or kg weight).
Peak force.
Stroke
Speed (strokes per minute etc.)
You will need a power supply with sufficient reserve capacity just as for the air line. ALso the electric actuator may be noisy.
There are other linear actuators, but less suitable. Voice coil actuators also work with servos, but have a smaller force than you require.
If this is a 12 or 24V unit, the power supply alone probably costs nearly as much as a compressor, and must be carefully specified to handle the peak currents. It seems a decent compressor or accumulator tank with the air system is a far simpler solution, probably cheaper, and you just buy in a local shop somewhere, fixed today.