can I sue the union for failure to fairly represent me?

I was a Flight Engineer for an airline (A) that terminated all it's Flight Engineers. A breach of contract greivance was filed and at arbitration it was determined that the airline was wrong and it would have to reinstate the Flight Engineers to active status and make them whole. The arbitrator left it to the parties to negotiate the make whole solution.
During the time that I was out of work, I took a job with another airline (B), an airline (B) that was owned by the same holding company as the airline (A)that had terminated me.
The job that I took at airline (B) was an office job, not a flying job.
During negotiations for the make whole soplution, the company told the union that it would not include me in the settlement becaus I was working for the company and therefore suffered no loss. The union went along with this even though they knew that I was working for a completely different company, airline (B). The union refuses to give me an explanation of its actions.
Most of the other Flight Engineers that were affected had also gone on to other employment, however, they were all included in the settlement.