In order of most likley to less.

#1. Bad O ring on fuel feed line.
#2. Cracked fuel feed line.
#3. Fuel tank screen fouled = plugged.

It sounds like you are loosing fuel feed or sucking some air.
This type issue only gets worse until it fails.

Have a great day.

__________________
ASE Master Mechanic
asemastermechanic@juno.com

Prototype R&D/testing:
Thermal & Aerodynamic System Engineering (TASE) Senior vehicle instrumentation technician.
Noise Vibration and Harshness (NVH).
Dynamometer.
Heat exchanger durability.
HV-A/C Climate Control.
Vehicle build.
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Technical Quality Auditor.
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1985 300SD
1983 300D
1984 190D
2003 Volvo V70
2002 Honda Civic

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