Unfortunately, laptop monitors are probably the least reliable for color accuracy. Not only is the quality itself usually inferior to a good old monitor, but also other energy saving settings can affect the way the color is rendered.
To my knowledge, most designers simply connect a "real" monitor to their laptop computer.
So the best solution is probably to purchase a display, calibrate it, and use the right color profile and color spaces for your pictures and the projects you're working on!
I'm not saying there's no other solutions, but that's probably the simplest way to fix your issue and you'll gain extra comfort too. You should still be able to get some "okay" results with the laptop only by making sure you're using the right color space, gamma, calibration and profiles but there's still so many things that can affect the color that it ends up not being a very good tool for serious work. At some point it requires you to interpret how color will look like to others and that requires expert level experience (and demands lot of energy too) in color management!