Peter Drucker will write about the sometimes effective executive. Of course if you're talking about emotional intelligence, the part timers have it licked. As a worker, you must demonstrate to your employer the benefits of the part time option and it must not be an unreasonable inconvenience to accommodate you. At the least, this may mean that you are accessible during standard business hours or that someone can and is willing to cover for you if matters need attention. Just as you would return your calls at select times or at the end of the day if you are traveling or in court, you should be able to respond on a regular and dependable basis when you are on a part time schedule.
Compensation is another issue.
You are not a charity and your must expect your compensation to reflect your actual contribution. While some employers offer full time benefits to part time workers, a prorated arrangement is far more common. Let's try to find some answers to this one.