All air carriers with aircraft designed to carry a capacity of 19 or more passengers are required by the Department of Transportation to allow passengers with disabilities to bring FAA-approved portable oxygen on any flight.
The portable oxygen must have a label by the manufacturer stating it meets FAA requirements. Any electric accessories must meet the FAA's medical portable electronic device restrictions which will be stated on an attached label.
The Federal Aviation Administration lists approved portable oxygen containers on its website to help airlines and passengers find approved devices.
Portable oxygen is classified as a hazardous material and can be a fire hazard in an enclosed oxygen-rich environment such as an aircraft. Unapproved electronic accessories that accompany some portable oxygen systems may emit radio frequencies that can interfere with flight navigation systems.
Some airlines have their own equipment that you can reserve by calling their reservations department. Each airline has its own rules, procedures and equipment.
The airlines are not required to provide electrical supply to oxygen systems so you may need to provide your own battery-powered system.