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Handbook of Fractional Calculus for Engineering and Science

Edited by: Harendra Singh , H. M. Srivastava , Juan J. Nieto

Print publication date:  February  2022
Online publication date:  February  2022

Print ISBN: 9781032047799
eBook ISBN: 9781003263517
Adobe ISBN:

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Book description

Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and useful methods and techniques for solving various types of fractional-order models in science and engineering. The book should be useful for graduate students, PhD students, researchers and educators interested in mathematical modelling, physical sciences, engineering sciences, applied mathematical sciences, applied sciences, and so on.

This Handbook:

  • Provides reliable methods for solving fractional-order models in science and engineering.

  • Contains efficient numerical methods and algorithms for engineering-related equations.

  • Contains comparison of various methods for accuracy and validity.

  • Demonstrates the applicability of fractional calculus in science and engineering.

  • Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations.

Readers will find this book to be useful and valuable in increasing and updating their knowledge in this field and will be it will be helpful for engineers, mathematicians, scientist and researchers working on various real-life problems.

Table of contents

Prelims Download PDF
Chapter  1:  Analytical and Numerical Methods to Solve the Fractional Model of the Vibration Equation Download PDF
Chapter  2:  Analysis of a Nonlinear System Arising in a Helium-Burning Network with Mittag–Leffler Law Download PDF
Chapter  3:  Computational Study of Constant and Variable Coefficients Time-Fractional PDEs via Reproducing Kernel Hilbert Space Method Download PDF
Chapter  4:  Spectral Collocation Method Based Upon Special Functions for Fractional Partial Differential Equations  Download PDF
Chapter  5:  On the Wave Properties of the Conformable Generalized Bogoyavlensky–Konopelchenko Equation Download PDF
Chapter  6:  Analytical Solution of a Time-Fractional Damped Gardner Equation Arising from a Collisional Effect on Dust-ion-acoustic Waves in a Dusty Plasma with Bi-Maxwellian Electrons Download PDF
Chapter  7:  An Efficient Numerical Algorithm for Fractional Differential Equations Download PDF
Chapter  8:  Generalization of Fractional Kinetic Equations Containing Incomplete I-Functions  Download PDF
Chapter  9:  Behavior of Slip Effects on Oscillating Flows of Fractional Second-Grade Fluid Download PDF
Chapter  10:  A Novel Fractional-Order System Described by the Caputo Derivative, Its Numerical Discretization, and Qualitative Properties Download PDF
Chapter  11:  Extraction of Deeper Properties of the Conformable Gross–Pitaevskii Equation via Two Powerful Approaches Download PDF
Chapter  12:  New Fractional Integrals and Derivatives Results for the Generalized Mathieu-Type and Alternating Mathieu-Type Series  Download PDF
Index Download PDF
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