Frontiers in Fractional Calculus: 1 (Current Developments in Mathematical Sciences) - Softcover

Bhalekar, Sachin

Softcover

ISBN 10: 168108600X ISBN 13: 9781681086002

Publisher: Bentham Science Publishers, 2018

Synopsis

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) Fractional Derivative. 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.

Edition details

• Publisher: Bentham Science Publishers
• Publication date: 2018
• Language: English
• ISBN 10: 168108600X
• ISBN 13: 9781681086002
• Binding: Paperback
• Number of pages: 375