In my experience, people don't usually know the fear of dying until they are past 30 or 40 years, or so. Before that, the subject is merely a philosophical exercise. Even with my faith in the Creator, I had struggled with the idea that, "one day I will not exist", and asked myself, "what is the point of life, if I am destined to die, and all that I am or have ever done will be washed away in the flood of time". Within 50 years of my death, it will be as though I never existed.
After many months of intermittent, quiet thoughts, it comforted me to realize that everything which ends, also begins again. Summer grows old in Autumn and dies in the Winter, but it has a new life in the Spring. The daylight dies when the sun sets, but is resurrected with the sunrise. And the caterpillar must first die to become the beautiful butterfly. Even the Fetus in the womb to be borne into a new world. The Creator offers us hope in the examples of nature.
In short, it's a hard reality to accept. Only "hope" can overcome the fear, in my opinion. While "dying" may be easy, it is the "fear of death" that can trap us. The thought of our own death is easier when we have no fear of death. And living is easier, when we have hope in continuing beyond the grave.