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Fractional Integrals and Derivatives: "True" versus "False"

This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like "What are the fractional integrals and derivatives?", "What are their decisive mathematical properties?",...

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Bibliographic Details
Main Author: Luchko, Yuri
Format: eBook
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:
Stability Analysis
Existence
Sonine Condition
Fractional Models
Mathematics & Science / Bicssc
Probability Distribution
Convergence Order
Weighted Shifted Grünwald-letnikov Approximation
Smoothness Assumptions
General Fractional Derivative
Initial Values
Memory
Fractional Relaxation Equation
Dilation
Fractional Differentiation
Space Fractional Convection-diffusion Model
Fractional Differential Equations
Fractional Falculus
Numerical Approximation
Fractional Diffusion Equation
Uniqueness
Integral Transforms Of Special Functions
Initial-boundary-value Problem
Generalized Hypergeometric Functions
Special Functions
Fractional Anti-derivatives
Distributed Lag
Research & Information: General / Bicssc
Time Delay
Fractional Derivatives
Fractional Derivative
Fractional Operators
Fractional Integral
Persistent Memory
Caputo-fabrizio Operator
Numerical Methods
Volterra Equation
Translation Operator
Convergent Series
Depreciation
Adsorption
Distributed Time Delay Systems
Atangana-baleanu Operator
General Fractional Integral
Cauchy Problem
Fractional Calculus Operators
Inverse Problem
Fractional Calculus
Fractional Integrals
Integral Transforms
Scaling
Crank-nicolson Scheme
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
Summary:This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like "What are the fractional integrals and derivatives?", "What are their decisive mathematical properties?", "What fractional operators make sense in applications and why?'', etc. In particular, the "new fractional derivatives and integrals" and the models with these fractional order operators are critically addressed. The Special Issue contains both the surveys and the research contributions. A part of the articles deals with foundations of FC that are considered from the viewpoints of the pure and applied mathematics, and the system theory. Another part of the Special issue addresses the applications of the FC operators and the fractional differential equations. Several articles devoted to the numerical treatment of the FC operators and the fractional differential equations complete the Special Issue.
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:1 electronic resource (280 p.)
ISBN:books978-3-0365-0494-0
9783036504940
9783036504957

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