In this study, the color texture, margin, and vein networks of three different mangrove species Avicennia marina, Avicennia officinalis, and Rhizophora apiculata are analyzed comprehensively for leaf morphology and health using multi-scale fractal dimension (MFD) analysis. The main goal is to develop an accurate and quantitative method for distinguishing between patterns unique to a species and subtleties in leaf structures. Using multi-scale fractal dimension, we have simulated the leaf venation topologies of three kinds of mangrove plants in this study. To study the interconnections and complexities of each color channel across scales, we also constructed each channel as a surface using MFD analysis. This strategy outperforms existing methods in providing a detailed multi-dimensional evaluation of leaf texture, margin, and venation. The outcome demonstrates that, even though the differences might not be very noticeable, there are anomalies that can be brought to light more clearly using multi-scale research, enabling a more precise perception of these traits for better identification at the species level and ecological adaptations. Our results demonstrate that our methodology guarantees high accuracy when assessing leaf morphology for purposes of environmental monitoring or botanical research. Cross-validation using a raw sample of Avicennia marina proves the superiority of MFD analysis of leaf vein networks in Mangrove species identification.