This book presents advanced research on quantum calculus, functional analysis, and their interdisciplinary applications. It focuses on solving complex challenges in areas such as quantum transport, carbon nanotubes, approximation theory, optimal control models, and renewable natural resources by providing cutting-edge developments in these specialised fields. Based on original research, it offers new insights into topics such as neutrosophic normed spaces, probabilistic normed spaces, quantum sequence spaces, and q-calculus applications in functional analysis for innovative applications across fields as diverse as energy, environmental science, and bioengineering.

• Discusses quantum calculus, fractional calculus, and functional analysis, quantization of electromagnetic fields, Caputo-Fabrizio fractional differential equations, q-statistical convergence, and quantum matrix operators

• Explores quantum calculus and fractional calculus applied to quantum functional calculus, biofuels, environmental pollution, and optimal control analysis

• Highlights the role of mathematical methods in addressing challenges in biofuel production and renewable natural resources, making it highly relevant for professionals and researchers in these fields

• Covers new research in fixed point theory, including methods for proving the existence of superior fixed points and applications to nonlinear equations

• Includes theoretical foundations and practical applications, providing a balanced approach that makes complex concepts accessible while maintaining a focus on cutting-edge developments

The book is for researchers and scholars of applied mathematics, readers interested in the advancement of Quantum Calculus and Functional Analysis.