Editor: "Sachin Bhalekar"

Series Title: Current Developments in Mathematical Sciences

Frontiers in Fractional Calculus

eBook: US $49 Special Offer (PDF + Printed Copy): US $160
Printed Copy: US $135
Library License: US $196
ISSN: 2589-2711 (Print)
ISSN: 2589-272X (Online)
ISBN: 978-1-68108-600-2 (Print)
ISBN: 978-1-68108-599-9 (Online)
Year of Publication: 2018
DOI: 10.2174/97816810859991180101

Introduction

This book brings together eleven topics on different aspects of fractional calculus in a single volume. It provides readers the basic knowledge of fractional calculus and introduces advanced topics and applications. The information in the book is presented in four parts:

  1. - Fractional Diffusion Equations: (i) solutions of fractional diffusion equations using wavelet methods, (ii) the maximum principle for time fractional diffusion equations, (iii) nonlinear sub-diffusion equations.
  2. - Mathematical Analysis: (i) shifted Jacobi polynomials for solving and identifying coupled fractional delay differential equations, (ii) the monotone iteration principle in the theory of Hadamard fractional delay differential equations, (iii) dynamics of fractional order modified Bhalekar-Gejji System, (iv) Grunwald-Letnikov derivatives.
  3. - Computational Techniques: GPU computing of special mathematical functions used in fractional calculus.
  4. - Reviews: (i) the popular iterative method NIM, (ii) fractional derivative with non-singular kernels, (iii) some open problems in fractional order nonlinear system

This is a useful reference for researchers and graduate level mathematics students seeking knowledge about of fractional calculus and applied mathematics.

RELATED BOOKS

.Fundamentals of Mathematics in Medical Research: Theory and Cases.
.Advanced Mathematical Applications in Data Science.
.Markov Chain Process (Theory and Cases).
.Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering.