IPhone battery charge problems?

I've noticed a couple problems with my iphone 4s battery within the last couple of weeks. I fell asleep one night using my phone and it died. When I woke up and plugged it in, it took 45 minutes to charge enough to turn back on, which was only 5%. It's never taken my phone anymore than 5 minutes to charge up after dying. And just today, the charge went from 19% to 6%, and immediately after I plugged it in, it went back up to 11%.
Are there any possible fixes? I can't upgrade my phone until December and I'm not paying the full $750-$800 for a new one.

Added (1). *charge went from 19% to 6% within less than a minute

Could be a battery issue where your iPhone needs a new battery take it into a repair shop get it inspected and hope they tell you what the issue is… Or try a restore with iTunes and set as new iPhone without photos, music etc… For a day and see if that fixes it… ( keep few contacts only the important ones…)

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