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Frontiers in Fractional Calculus Cover

Frontiers in Fractional Calculus

Volume in the series
Current Developments in Mathematical Sciences
Publisher:Bentham Science
By: Sachin Bhalekar  
Paid access
|Apr 2018
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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.
PDF ISBN: 978-1-68108-599-9
Publisher: Bentham Science
Copyright owner: © 2018 Bentham Science Publishers
Publication date: 2018
Language: English
Pages: 360
Related subjects:
Mathematics,
Analysis

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