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

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
Format: eBook
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:
Mathematics & science
Research & information: general
adsorption
Atangana-Baleanu operator
Caputo-Fabrizio operator
Cauchy problem
convergence order
convergent series
Crank-Nicolson scheme
depreciation
dilation
distributed lag
distributed time delay systems
existence
fractional anti-derivatives
fractional calculus
fractional calculus operators
fractional derivative
fractional derivatives
fractional differential equations
fractional differentiation
fractional diffusion equation
fractional falculus
fractional integral
fractional integrals
fractional models
fractional operators
fractional relaxation equation
general fractional derivative
general fractional integral
generalized hypergeometric functions
initial values
initial-boundary-value problem
integral transforms
integral transforms of special functions
inverse problem
memory
numerical approximation
numerical methods
persistent memory
probability distribution
scaling
smoothness assumptions
Sonine condition
space fractional convection-diffusion model
special functions
stability analysis
time delay
translation operator
uniqueness
Volterra equation
weighted Shifted Grünwald-Letnikov approximation
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