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Advances on Fixed Point Results on Partial Metric Spaces Read chapter Read first chapter

2019 | OriginalPaper | Chapter

5. Integral Balance Approach to 1-D Space-Fractional Diffusion Models

Author : Jordan Hristov

Published in: Mathematical Methods in Engineering

Publisher: Springer International Publishing

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Abstract

This chapter summarizes the recent results on approximate analytical integral-balance solutions of initial-boundary value problems of spatial-fractional partial differential diffusion equation with Riemann–Liouville fractional derivative in space. The approximate method is based on two principal steps: the integral-balance method and a series expansion of an assumed parabolic profile with undefined exponent. The spatial correlation of the superdiffusion coefficient in two power-law forms has been discussed. The law of the spatial and temporal propagation of the solution is the primary issue. Approximate solutions based on assumed parabolic profile with unspecified exponent have been developed.

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previous chapter Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation
next chapter Fractional Order Filter Discretization by Particle Swarm Optimization Method
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Metadata
Title
Integral Balance Approach to 1-D Space-Fractional Diffusion Models
Author
Jordan Hristov
Copyright Year
2019
Book
Mathematical Methods in Engineering

Print ISBN: 978-3-319-91064-2

Electronic ISBN: 978-3-319-91065-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-91065-9_5

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