Book Chapters

Book Chapters in Edited Books:

I) The following three chapters are published in an edited book

Fractional Calculus: Theory and Applications, Editor- Varsha Daftardar-Gejji, Narosa Publishing House, New Delhi, 2013. ISBN 978-81-8487-333-7

 

1. Existence and uniqueness theorems: A new approach, S. Bhalekar and V. Daftardar-Gejji, pp. 41-52.

2. Chaos in fractional order systems, S. Bhalekar, pp. 53-74.

3. Stability analysis of fractional differential systems with delay, S. Bhalekar, pp. 75-82.

 

II) Dynamics of Fractional Order Chaotic Systems, S. Bhalekar, Chapter 2, In: Fractional Calculus: Applications, Editors: Roy Abi Zeid and Xavier Moreau, Nova Science Publishers, ISBN: 978-1-63463-221-8, (2014).

 

III) Synchronization of Fractional Chaotic and Hyperchaotic Systems Using an Extended Active Control, Advances in Chaos Theory and Intelligent Control,

Volume 337 of the series Studies in Fuzziness and Soft Computing, Editors: Ahmad Taher Azar, Sundarapandian Vaidyanathan, Springer International, pp 53-73, (2016).

ISBN: 978-3-319-30338-3

 

IV)  Dynamics of Fractional Order Complex Uçar System, Fractional Order Control and Synchronization of Chaotic Systems, Volume 688 of the series Studies in Computational Intelligence, Editors: Ahmad Taher Azar, Sundarapandian Vaidyanathan and Adel Ouannas, Springer International, (2017).

ISBN: 978-3-319-50248-9

 

V) Analytical solution of pantograph equation with incommensurate delays, Jayvant Patade and Sachin Bhalekar, In: Computational Sciences, Ponnadurai Ramasami (Ed.), De Gruyter, August 2017. ISBN 978-3-11-046721-5

 

VI) The following two chapters are published in an edited book-

Frontiers in Fractional Calculus, Book Series: Current Developments in Mathematical Sciences, Volume 1, Editor: Sachin Bhalekar, Publisher: Bentham Science, (2018) ISBN: 978-1-68108-600-2

1. Dynamics of Fractional Order Modified Bhalekar- Gejji System - Pp. 159-182 (24)

Sachin Bhalekar

2. Fractional Order Nonlinear Systems: Some Open Problems in Numerical Computations and Chaos Theory - Pp. 342-347 (6) Sachin Bhalekar


VII) Bhalekar, S. (2019). Analysis of 2-Term Fractional-Order Delay Differential Equations. In: Daftardar-Gejji, V. (eds) Fractional Calculus and Fractional Differential Equations. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-9227-6_4