参考

List<HogeEntity> → List<HogeDto> のマッピング

List<HogeEntity> entities = // DBからHogeEntityリスト取得
List<HogeDto> dtos = modelMapper.map(entities , new TypeToken<List<HogeDto>>() {}.getType());

String ⇔ LocalDate のマッピング

// String to LocalDate
mapper.addConverter(
    new AbstractConverter<String, LocalDate>() {
        @Override
        protected LocalDate convert(String source) {
            if (source == null) {
                return null;
            }
            DateTimeFormatter format = DateTimeFormatter.ofPattern("yyyy-MM-dd");
            return LocalDate.parse(source, format);
        }

    }
);

// LocalDate to String
mapper.addConverter(
    new AbstractConverter<LocalDate, String>() {
        @Override
        protected String convert(LocalDate source) {
            if (source == null) {
                return null;
            }
            DateTimeFormatter format = DateTimeFormatter.ofPattern("yyyy-MM-dd");
            return source.format(format);
         }
    }
);

String ⇔ LocalDateTimeのマッピング

// String to LocalDateTime
mapper.addConverter(
    new AbstractConverter<String, LocalDateTime>() {
        @Override
        protected LocalDateTime convert(String source) {
            if (source == null) {
                return null;
            }
            DateTimeFormatter format = DateTimeFormatter.ofPattern("yyyy-MM-dd HH:mm:ss");
            return LocalDateTime.parse(source, format);
        }
    }
);

// LocalDateTime to String
mapper.addConverter(
    new AbstractConverter<LocalDateTime, String>() {
        @Override
        protected String convert(LocalDateTime source) {
            if (source == null) {
                return null;
            }
            DateTimeFormatter format = DateTimeFormatter.ofPattern("yyyy-MM-dd HH:mm:ss");
            return source.format(format);
        }
    }
);