Process Explorer is not available for Android but there are a few alternatives with similar functionality. The best Android alternative is TaskManager, which is both free and Open Source.
Process Explorer enables you to view the processes running on your device and, in the case of Dalvik-based apps, their corresponding logcat output without cluttering your device's main display.
Linux's top(1) is an awesome tool. But on Android top is a toolbox tool, and not a particularly good implementation. toybox makes it far better (adds proper full screen), but still doesn't have filters, color, sortability, and the automatic detect
There is no API for getting a list of all the running processes on the Android system, as the internal processes are not relevant to a userspace application. The only way to get them would be to run a shell command on a rooted device.
Process Explorer is a remote, web based process manager for Android. Developers often need to observe the behaviour of processes running on their Android system while still operating the device.
In my work, the two biggest tools to quickly isolate what a malicious entity is, where it is, and how it's starting is a combination of process explorer and autoruns.