Frontiers of Fractal Analysis

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automated edge detection
Backward Trajectories
Banach Space
Borel Regular Measure
Borel regularity
Borel Set
Bounded Linear Operator
Cantor Set
Category=PBM
Category=PBW
Category=PHQ
Category=PHS
Category=PHU
Category=UMB
Category=UYA
Complete Metric Space
Data Set
Edge Detection
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eq_computing
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eq_isMigrated=2
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Fixed Point
fractal analysis
fractal calculus
Fractal Derivative
Fractal Function
Fractal Integral
fractal interpolation
fractal operator
Fractal Time Space
Fractional Calculus
Fractional Differential Operator
fractional differentiation
Functional Equation
fuzzy logic applications
Generalized Fractal Dimensions
Hausdorff Measure
IFS
image analysis
Intuitionistic Fuzzy
intuitionistic fuzzy enhanced image
mathematical modeling
mathematical models
measure theory
mixed multifractal analysis
multifractal dimensions
multifractal image processing techniques
multivariate fractal approximation
Non-membership Degree
non-necessary Gibbs cases
non-stationary fractal interpolation functions
nonlinear dynamics
operator theory
Quaternionic Setting
relative centered multifractal measures
Schauder Basis
vector-valued measures

Product details

  • ISBN 9781032138671
  • Weight: 453g
  • Dimensions: 178 x 254mm
  • Publication Date: 07 Jul 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems.

This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

Santo Banerjee is associated with the Department of Mathematics, Politecnico di Torino, Italy. Prior to this, he was an Associate Professor in the Institute for Mathematical Research (INSPEM), University Putra Malaysia, Malaysia, until 2020, and also a founder member of the Malaysia-Italy Centre of Excellence in Mathematical Science, UPM, Malaysia. His research is mainly concerned with Nonlinear Dynamics, Chaos, Complexity and Secure Communication. He is a Managing Editor of EPJ Plus (Springer).

A. Gowrisankar has a master's degree and Ph.D in Mathematics from The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Dindigul, India, in 2012 and 2017 respectively. He got an institute postdoctoral fellowship from the Indian Institute of Technology Guwahati (IITG), Guwahati, Assam, India, in 2017. At present, he is an Assistant Professor in the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India. His broad areas of research include Fractal Analysis, Image Processing, Fractional Calculus and Fractal Functions.