Existence, uniqueness, and controllability for Hilfer differential equations on times scales (Q6137240)

scientific article; zbMATH DE number 7790738

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English	Existence, uniqueness, and controllability for Hilfer differential equations on times scales	scientific article; zbMATH DE number 7790738

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instance of

scholarly article

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title

Existence, uniqueness, and controllability for Hilfer differential equations on times scales (English)

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author

J. Vanterler da Costa Sousa

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D. S. Oliveira

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Gastão S. F. Frederico

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Delfim F. M. Torres

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published in

Mathematical Methods in the Applied Sciences

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publication date

18 January 2024

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full work available at URL

https://arxiv.org/abs/2302.12183

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zbMATH Keywords

\(\psi\)-Hilfer fractional derivatives

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fractional initial value problems

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times scales

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existence

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uniqueness

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controllability

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MaRDI profile type

MaRDI publication profile

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cites work

Q5699297

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Q3408155

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

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Taylor’s Series Generalized for Fractional Derivatives and Applications

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

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

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A new approach to the validation of an ESR fractional model

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

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A mathematical model for COVID-19 transmission by using the Caputo fractional derivative

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A case study of fractal-fractional tuberculosis model in China: existence and stability theories along with numerical simulations

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Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

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Observer‐based control approach for fractional‐order delay systems of neutral type with saturating actuator

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LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation

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An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment

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Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers

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Existence, uniqueness and stability of nonlinear implicit fractional dynamical equation with impulsive condition on time scales

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Existence, stability and controllability results of coupled fractional dynamical system on time scales

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Existence of solutions of boundary value problems for Caputo fractional differential equations on time scales

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Fractional Cauchy problem with Caputo nabla derivative on time scales

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Fractional q-Calculus on a time scale

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On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales

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STABILITY BY KRASNOSELSKII'S FIXED POINT THEOREM FOR NONLINEAR FRACTIONAL DYNAMIC EQUATIONS ON A TIME SCALE

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Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales

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Cauchy's formula on nonempty closed sets and a new notion of Riemann-Liouville fractional integral on time scales

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Fractional calculus on time scales with Taylor's theorem

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Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense

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Basic calculus on time scales and some of its applications

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Principles of delta fractional calculus on time scales and inequalities

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Inequalities on Time Scales: A Survey

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New properties of the time-scale fractional operators with application to dynamic equations

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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

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Reachability of fractional dynamical systems using <i>ψ</i>-Hilfer pseudo-fractional derivative

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Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative

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A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals

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Identifiers

zbMATH Open document ID

1528.34074

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arXiv ID

2302.12183

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6137240