Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function (Q2052340)

scientific article; zbMATH DE number 7433857

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English	Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function	scientific article; zbMATH DE number 7433857

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instance of

scholarly article

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title

Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function (English)

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Computational and Applied Mathematics

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publication date

25 November 2021

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zbMATH Keywords

temporal discretization

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Caputo-Hadamard fractional derivative

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incomplete gamma function

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Whittaker M function

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fractional differential equation

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40314-021-01673-6

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cites work

A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability

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Caputo-Hadamard fractional differential equations in Banach spaces

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Caputo-Hadamard fractional differential Cauchy problem in Fréchet spaces

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Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

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Nonlocal initial value problems for Hadamard-type fractional differential equations and inclusions

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Caputo–Hadamard Fractional Derivatives of Variable Order

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Hadamard-type fractional calculus

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Hypersingular integral equations in fracture analysis

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A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains

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On the integration of products of Whittaker functions with respect to the second index

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Q4623178

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On Caputo modification of the Hadamard fractional derivatives

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A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

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On Caputo–Hadamard fractional differential equations

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Finite difference methods for Caputo-Hadamard fractional differential equations

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Caputo-type modification of the Hadamard fractional derivatives

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Halanay inequality with Hadamard derivative and application to a neural network system

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Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations

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Error estimates of high-order numerical methods for solving time fractional partial differential equations

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Error estimates of a high order numerical method for solving linear fractional differential equations

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Finite difference/spectral approximations for the time-fractional diffusion equation

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A fast compact finite difference method for quasilinear time fractional parabolic equation without singular kernel

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Numerical solution of Fredholm fractional integro-differential equation with right-sided Caputo's derivative using Bernoulli polynomials operational matrix of fractional derivative

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New method for solving fractional partial integro-differential equations by combination of Laplace transform and resolvent kernel method

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COMPARISON THEOREMS FOR CAPUTO–HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS

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Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative

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Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations

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On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives

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Existence and stability of fractional differential equations with Hadamard derivative

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COMPARISON PRINCIPLES FOR HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS

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On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions

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The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect

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Identifiers

zbMATH Open document ID

1476.26003

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Mathematics Subject Classification ID

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10.1007/S40314-021-01673-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2052340