thereThere are lots of application notes on this. Google for Tantalum"Tantalum vs ceramic capacitorscapacitors".
Ceramic capacitors are best for it'sits ESR & ESL. So, that they can handle huge ripple currents at less temperature rise in power supplies. Same way, they don't disturb signal quality in High speed-speed systems (AC coupling capacitors). But their DC Bias characteristics are poor. Like a 47uF X5R 6.3V is ~ 23uF~23uF @ 3.3V. This Low ESR & ESL may be bad atin some cases. LikeFor instance, some Buck converters that require enough ripple at the output to be stable. andAnd lower ESL will react with cable capacitances to give unnecessary oscillations.
Tantalum capacitors are best known for Volumetric efficiency and Cheap cost, but they have moreare prone to failure cases due to surge currents. they haveThere are alternatives with polymer capacitors like POSCAPs (polymer capacitors).