A systematic review is a tightly structured literature review that focuses on a topic with strict research parameters. The methodology used to collect research has to be consistent in order to reduce misinterpretation and misrepresentation of the data.
PRISMA is an evidence-based minimum set of items for reporting in systematic reviews and meta-analyses. PRISMA focuses on the reporting of reviews evaluating randomized trials but can also be used as a basis for reporting systematic reviews of other types of research, particularly evaluations of interventions. Check the PRISMA website for more information.
Meta-analysis uses statistical methods to combine the results of a systematic literature review. It is considered original work. Booth et al. (2016), define meta-analysis as the
Process of combining statistically quantitative studies that have measured the same effect using similar methods and a common outcome measure.
Ask your supervisors about the best software or see this web page 13 best free meta-analysis software to use or check examples of theses or articles using meta-analysis to see which software would be best for you.
The term “Systematic Literature Review” is a specific type of review which involves, among other things, designing a specific search strategy, and then conducting it in one or several databases (not Library Search), applying specified inclusion and exclusion criteria to the items found, and reporting on it. If you have been advised to conduct a systematic review it would pay to clarify this, as it may be that you just need to perform a literature search in a systematic manner, rather than a full Systematic Literature Review.