Editor: Sachin Bhalekar

Frontiers in Fractional Calculus

Volume 1

Personal Book: US $49 Special Offer (PDF + Printed Copy): US $147
Printed Copy: US $123
Library Book: US $196
ISSN: 2589-2711
eISSN: 2589-272X (Online)
ISBN: 978-1-68108-600-2
eISBN: 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.

Contributors

Editor(s):
Sachin Bhalekar
Department of Mathematics
Shivaji University
Kolhapur 416004 India





Contributor(s):
B. Ganesh Priya
Department of Mathematics
The Gandhigram Rural Institute-Deemed University
Gandhigram 624 302
India


Chaitanya Jage
Department of Electronics Engineering
Ramrao Adik Institute of Technology
D. Y. Patil Vidyanagar, Nerul
Navi Mumbai 400 706
India


Jordan Hristov
Dept.Chem.Eng
UCTM, Sofia 1756, 8 Kl.Ohridsky
Blvd
Bulgaria


Kishor D. Kucche
Department of Mathematics
Shivaji University
Kolhapur 416004 India


Manoj Kumar
Department of Mathematics
Savitribai Phule Pune University
Pune - 411007, India
National Defense Academy
Khadakwasala Pune- 411023
India


Masahiro Yamamoto
Graduate School of Mathematical Sciences
The University of Tokyo
Japan


Mukesh D. Patil
Department of Electronics and Telecommunication Engineering
Ramrao Adik Institute of Technology
D. Y. Patil Vidyanagar, Nerul
Navi Mumbai 400 706
India


Navin Singhaniya
Department of Electronics Engineering
Ramrao Adik Institute of Technology
D. Y. Patil Vidyanagar, Nerul
Navi Mumbai 400 706
India


P. Balasubramaniam
Department of Mathematics
The Gandhigram Rural Institute-Deemed University
Gandhigram 624 302
India


P. Muthukumar
Department of Mathematics
The Gandhigram Rural Institute-Deemed University
Gandhigram 624 302
India


P. S. V. Nataraj
IDP in Systems and Control Engineering
Indian Institute of Technology Bombay
Mumbai 400 076
India


Parag Patil
Department of Electronics Engineering
Ramrao Adik Institute of Technology
D. Y. Patil Vidyanagar, Nerul
Navi Mumbai 400 706
India


Radosław Cioć
Faculty of Transport and Electrical Engineering
Kazimierz Pulaski University of Technology and Humanities in Radom Malczewskiego Str. 29
Radom 26-600
Poland


Sachin Bhalekar
Department of Mathematics
Shivaji University
Kolhapur 416004 India


Varsha Daftardar-Gejji
Department of Mathematics
Savitribai Phule Pune University
Pune - 411007
India


Vishwesh A. Vyawahare
Department of Electronics Engineering
Ramrao Adik Institute of Technology
D. Y. Patil Vidyanagar, Nerul
Navi Mumbai 400 706
India


Weihua Deng
School of Mathematics and Statistics
Gansu Key Laboratory of Applied Mathematics and Complex Systems
Lanzhou University
Lanzhou 730000
P.R. China


Yuri Luchko
Department of Mathematics
TU of Applied Sciences Berlin
Germany


Zhijiang Zhang
School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems
Lanzhou University
Lanzhou 730000
P.R. China




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