Fractional Mathematical Modelling : Theory, Methods and Applications

ISBN 10: 3725855110 / ISBN 13: 9783725855117

Published by MDPI AG, 2025

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - This Reprint presents recent advances in fractional calculus, organized into three main themes: theoretical developments, methodological advances, and applications. Theoretical contributions examine two forms of the Riemann-Liouville derivative and their impact on solution structures, and introduce anomalous diffusion models based on regularized general fractional derivatives with Sonin kernels. Methodological studies focus on improved analytical and numerical approaches, including the optimal q-Homotopy Analysis Method, iterative and perturbation techniques for nonlinear equations, and applications of the fractional differential quadrature method to nonlinear and high-dimensional systems. Applications demonstrate the breadth of fractional modeling, covering fuzzy systems and controllability, fractional-order boost converters, viscoelastic dampers, ZnO nanostructures, solar-cell charge dynamics, and personalized fractional-order controllers for anaesthesia. Together, these works highlight how fractional calculus continues to advance through theoretical developments, methodological advances, and practical applications across science, engineering, and medicine.

Seller Inventory # 9783725855117

Bibliographic Details

• Title: Fractional Mathematical Modelling : Theory, Methods and Applications
• Publisher: MDPI AG
• Publication Date: 2025
• Language: English
• ISBN 10: 3725855110
• ISBN 13: 9783725855117
• Binding: Buch
• Condition: Neu
• Dimensions: 250W x 175H x 22D millimeters 250 millimeters width by 175 millimeters height by 22 millimeters depth
• Weight: 855 grams

About this title

Synopsis

This Reprint presents recent advances in fractional calculus, organized into three main themes: theoretical developments, methodological advances, and applications. Theoretical contributions examine two forms of the Riemann-Liouville derivative and their impact on solution structures, and introduce anomalous diffusion models based on regularized general fractional derivatives with Sonin kernels. Methodological studies focus on improved analytical and numerical approaches, including the optimal q-Homotopy Analysis Method, iterative and perturbation techniques for nonlinear equations, and applications of the fractional differential quadrature method to nonlinear and high-dimensional systems. Applications demonstrate the breadth of fractional modeling, covering fuzzy systems and controllability, fractional-order boost converters, viscoelastic dampers, ZnO nanostructures, solar-cell charge dynamics, and personalized fractional-order controllers for anaesthesia. Together, these works highlight how fractional calculus continues to advance through theoretical developments, methodological advances, and practical applications across science, engineering, and medicine.