A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

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Location: Deutsche Nationalbibliothek Frankfurt am Main

ISSN: 1029-242X

Extent: Online-Ressource

Language: Englisch

Notes: online resource.

Bibliographic citation: A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators ; volume:2023 ; number:1 ; day:6 ; month:2 ; year:2023 ; pages:1-35 ; date:12.2023
Journal of inequalities and applications ; 2023, Heft 1 (6.2.2023), 1-35, 12.2023

Creator: Sudsutad, Weerawat
Thaiprayoon, Chatthai
Khaminsou, Bounmy
Alzabut, Jehad
Kongson, Jutarat

Contributor: SpringerLink (Online service)

DOI: 10.1186/s13660-023-02929-x

URN: urn:nbn:de:101:1-2023041021125342470514

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:45 AM CEST

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Sudsutad, Weerawat
Thaiprayoon, Chatthai
Khaminsou, Bounmy
Alzabut, Jehad
Kongson, Jutarat
SpringerLink (Online service)

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Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem

$On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem$

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$Three solutions for fractional elliptic systems involving ψ-Hilfer operator$

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Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator

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Certain inequalities via generalized proportional Hadamard fractional integral operators

$The Minkowski inequalities via generalized proportional fractional integral operators$

The Minkowski inequalities via generalized proportional fractional integral operators

Fractional periodic boundary value and Cauchy problems with Hilfer–Prabhakar operator

$On Hilfer generalized proportional fractional derivative$

On Hilfer generalized proportional fractional derivative

$Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem$

Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem

$On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem$

On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

$On Hilfer fractional difference operator$

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$Hilfer proportional nonlocal fractional integro-multipoint boundary value problems$

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

$Three solutions for fractional elliptic systems involving ψ-Hilfer operator$

Three solutions for fractional elliptic systems involving ψ-Hilfer operator

$Analysis of Cauchy problem with fractal-fractional differential operators$

Analysis of Cauchy problem with fractal-fractional differential operators

$Impulsive Hilfer fractional differential equations$

Impulsive Hilfer fractional differential equations

$Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator$

Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator

$Certain inequalities via generalized proportional Hadamard fractional integral operators$

Certain inequalities via generalized proportional Hadamard fractional integral operators

$The Minkowski inequalities via generalized proportional fractional integral operators$

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Fractional periodic boundary value and Cauchy problems with Hilfer–Prabhakar operator

$On Hilfer generalized proportional fractional derivative$

On Hilfer generalized proportional fractional derivative

$Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem$

Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem

$On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem$

On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

$On Hilfer fractional difference operator$

On Hilfer fractional difference operator

$Hilfer proportional nonlocal fractional integro-multipoint boundary value problems$

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

$Three solutions for fractional elliptic systems involving ψ-Hilfer operator$

Three solutions for fractional elliptic systems involving ψ-Hilfer operator

$Analysis of Cauchy problem with fractal-fractional differential operators$

Analysis of Cauchy problem with fractal-fractional differential operators

$Impulsive Hilfer fractional differential equations$

Impulsive Hilfer fractional differential equations

$Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator$

Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator

$Certain inequalities via generalized proportional Hadamard fractional integral operators$

Certain inequalities via generalized proportional Hadamard fractional integral operators

$The Minkowski inequalities via generalized proportional fractional integral operators$

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A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

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Other Objects (12)

Fractional periodic boundary value and Cauchy problems with Hilfer–Prabhakar operator

On Hilfer generalized proportional fractional derivative

Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem

On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

On Hilfer fractional difference operator

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

Three solutions for fractional elliptic systems involving ψ-Hilfer operator

Analysis of Cauchy problem with fractal-fractional differential operators

Impulsive Hilfer fractional differential equations

Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator

Certain inequalities via generalized proportional Hadamard fractional integral operators

The Minkowski inequalities via generalized proportional fractional integral operators

Fractional periodic boundary value and Cauchy problems with Hilfer–Prabhakar operator

On Hilfer generalized proportional fractional derivative

Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem

On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

On Hilfer fractional difference operator

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

Three solutions for fractional elliptic systems involving ψ-Hilfer operator

Analysis of Cauchy problem with fractal-fractional differential operators

Impulsive Hilfer fractional differential equations

Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator

Certain inequalities via generalized proportional Hadamard fractional integral operators

The Minkowski inequalities via generalized proportional fractional integral operators

Fractional periodic boundary value and Cauchy problems with Hilfer–Prabhakar operator

On Hilfer generalized proportional fractional derivative

Mild solution for ( ρ , k , Ψ ) $(\rho ,k,\Psi )$ -proportional Hilfer fractional Cauchy problem

On generalized ( k , ψ ) $(k,\psi )$ -Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

On Hilfer fractional difference operator

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

Three solutions for fractional elliptic systems involving ψ-Hilfer operator

Analysis of Cauchy problem with fractal-fractional differential operators

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Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator

Certain inequalities via generalized proportional Hadamard fractional integral operators

The Minkowski inequalities via generalized proportional fractional integral operators

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