Parametric general fractional calculus: nonlocal operators acting on function with respect to another function (Q6546492)

scientific article; zbMATH DE number 7855892

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English	Parametric general fractional calculus: nonlocal operators acting on function with respect to another function	scientific article; zbMATH DE number 7855892

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instance of

scholarly article

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title

Parametric general fractional calculus: nonlocal operators acting on function with respect to another function (English)

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author

Vasily E. Tarasov

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published in

Computational and Applied Mathematics

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publication date

29 May 2024

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zbMATH Keywords

fractional calculus

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general fractional calculus

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fractional derivatives

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fractional integrals

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fractional dynamics

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processes with memory

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nonlocality

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MaRDI profile type

Publication

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cites work

A Caputo fractional derivative of a function with respect to another function

0 references

Further properties of Osler's generalized fractional integrals and derivatives with respect to another function

0 references

Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications

0 references

A numerical study of fractional relaxation-oscillation equations involving \(\psi \)-Caputo fractional derivative

0 references

On systems of fractional differential equations with the <i>ψ</i>‐Caputo derivative and their applications

0 references

Generalising the fractional calculus with Sonine kernels via conjugations

0 references

Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications

0 references

Abstract Cauchy problems for the generalized fractional calculus

0 references

Fractional Calculus with Applications in Mechanics

0 references

Estimates for a general fractional relaxation equation and application to an inverse source problem

0 references

Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation

0 references

Q4193900

0 references

Operational calculus

0 references

Some Remarks on Talenti's Semigroup

0 references

Comments on various extensions of the Riemann-Liouville fractional derivatives: about the Leibniz and chain rule properties

0 references

The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

0 references

An Integral Equation Involving Legendre Functions

0 references

On the Euler-Poisson-Darboux equation

0 references

Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations

0 references

Tempered and Hadamard-type fractional calculus with respect to functions

0 references

On Laplace transforms with respect to functions and their applications to fractional differential equations

0 references

Mikusiński's operational calculus for general conjugated fractional derivatives

0 references

Q5168970

0 references

General fractional calculus and Prabhakar's theory

0 references

Applications in Physics, Part A

0 references

Applications in Physics, Part B

0 references

A comment on a controversial issue: a generalized fractional derivative cannot have a regular kernel

0 references

Q5699297

0 references

Q4282622

0 references

Basic Theory

0 references

Fractional Differential Equations

0 references

General fractional calculus, evolution equations, and renewal processes

0 references

On the nonlinear \(varPsi\)-Hilfer fractional differential equations

0 references

On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations

0 references

Operational calculus for the general fractional derivative and its applications

0 references

Convolution series and the generalized convolution Taylor formula

0 references

The 1st level general fractional derivatives and some of their properties

0 references

General fractional integrals and derivatives and their applications

0 references

General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems

0 references

Q5190149

0 references

On tempered fractional calculus with respect to functions and the associated fractional differential equations

0 references

Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series

0 references

The Fractional Derivative of a Composite Function

0 references

A Further Extension of the Leibniz Rule to Fractional Derivatives and Its Relation to Parseval’s Formula

0 references

The Integral Analog of the Leibniz Rule

0 references

On fractional calculus with analytic kernels with respect to functions

0 references

Fractional thermoelasticity

0 references

A note on Caputo's derivative operator interpretation in economy

0 references

Integral equations of the first kind of Sonine type

0 references

Q5691781

0 references

Q3141895

0 references

Generalized Derivatives and Approximation by Polynomials

0 references

Q5810645

0 references

Well-posedness of general Caputo-type fractional differential equations

0 references

Q5514717

0 references

Q4089045

0 references

On the generalization of a formula of Abel.

0 references

On the \(\psi\)-Hilfer fractional derivative

0 references

On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator

0 references

Leibniz type rule: \(\psi\)-Hilfer fractional operator

0 references

On the \(\Psi \)-fractional integral and applications

0 references

A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator

0 references

\(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus

0 references

The \(\psi\)-Hilfer fractional calculus of variable order and its applications

0 references

Sul problema di Cauchy per le equazioni a derivate parziali

0 references

Economic Dynamics with Memory

0 references

Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media

0 references

On chain rule for fractional derivatives

0 references

General non-local electrodynamics: equations and non-local effects

0 references

Nonlocal statistical mechanics: general fractional Liouville equations and their solutions

0 references

General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem

0 references

Elasticity for economic processes with memory: fractional differential calculus approach

0 references

Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups

0 references

Fractional Kinetics in Solids

0 references

Fractional Kinetics in Space

0 references

Q4301590

0 references

Identifiers

DOI

10.1007/s40314-024-02725-3

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Mathematics Subject Classification ID

26A33

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zbMATH DE Number

7855892

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Sitelinks

Mathematics(1 entry)

mardi Publication:6546492