1) Breathing
For reducing the severity and frequency of panic attacks, meditation works great.  The idea of meditation is to get the mind to be still.  Do this by fixing the mind on one thing - your breathing.  Thoughts will come and you will forget you were watching your breathing and that's OK just go back to it as soon as you realize it. By doing this you are learning to control your mind. The mind will become much more calm.  Up until now it has just run wild like a classroom full of unruly undisciplined children throwing spit wads and shouting.  Start out meditating for 5 minutes a day when you get up after you do the bathroom thing.  Over time The mind will want to talk you out of doing it.  It will tell you that you are too busy to meditate.  The mind wants to continue to be unruly even though it is causing you so much suffering.  When you get into the "zone" and your mind is so still just floating in space, it feels unbelievably good.  This is what the Bible calls "the peace that surpasses understanding."  If you can get to that point, you will never want to miss.  But it will take effort to get there. The unruly children won’t behave right away.  They have to be trained.  As you progress your panic attacks will be come fewer and of less severity.  Then your panic attacks will disappear.

Lavender

2) Supplements and Diet
For people who suffer from anxiety or panic attacks it’s important to know that there is a correlation with low levels of certain vitamins.  There are many things you can do that will help restore this balance in your body.
First:  Take some magnesium, calcium, and b-complex vitamins as supplementation.
Second:  Regarding diet; eat foods low in sugar and having whole grains.  You want to avoid carbohydrates and refined sugars.
Third:  Avoid having drinks that contain caffeine like tea, coffee, and sodas.
Fourth:  Lastly, you want to avoid drugs and alcohol.  These will sap up the valuable mineral and vitamin supply your body has metabolized.     
 
3) Lavender as Natural Home Remedy for Panick Attacks
When you are experiencing panic feelings; lavender essential oil will help provide calmness.  I usually carry some with me in case I need it.  I have it in a small bottle with a cotton ball in a zip lock bag.  Smelling the lavender can kind of program the mind into a calm state.  This is a method of aroma therapy and an excellent home remedy for panick attacks.             
 
For over two years I experienced anxiety and panic attacks several times daily.  There were many home remedies that helped me.  I want to share a few with you.  When you start feeling a panic attack coming on, do something of interest like doing a crossword puzzle or playing a hand held game.  Even if it is hard to concentrate, you must try.  If you are an adult and have a prescription for valium; take five milligrams when you start to feel the panic coming on.  Also, you can take a cold rag and apply it to your neck.  Also drink lots of fluids.  If you experience an upset stomach; an over the counter motion sickness medicine called Bonine works great.  You can get this at Walmart or Walgreens.  Sometimes when you are having a panic attack, you can feel insecure or paranoid.  If this happens you can turn on the television and find a happy show.  Some times a bath would help me.  Different approaches would help me relative to the degree of my attack.  I hope one of these suggestions provide help for you.  Watch for my name as I may think of other remedies for panic attacks and anxiety.