Analytic solution of homogeneous time-invariant fractional IVP (Q1712124)

scientific article; zbMATH DE number 7003964

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English	Analytic solution of homogeneous time-invariant fractional IVP	scientific article; zbMATH DE number 7003964

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instance of

scholarly article

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title

Analytic solution of homogeneous time-invariant fractional IVP (English)

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Advances in Difference Equations

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publication date

21 January 2019

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zbMATH Keywords

Caputo derivative

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fractional power series

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fractional PDE

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power series method

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13662-018-1601-3

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cites work

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

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Numerical solution of the Klein-Gordon equation via He's variational iteration method

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Analytical solution of a fractional diffusion equation by Adomian decomposition method

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Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method

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A study on the convergence conditions of generalized differential transform method

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Solving nonlinear fractional partial differential equations using the homotopy analysis method

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Homotopy perturbation method: a new nonlinear analytical technique

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A modified analytical approach for fractional discrete KdV equations arising in particle vibrations

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A review of operational matrices and spectral techniques for fractional calculus

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Fractional Lie group method of the time-fractional Boussinesq equation

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A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application

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Theory and applications of a more general form for fractional power series expansion

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Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm

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New results on fractional power series: theories and applications

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Residual Power Series Method for Fractional Diffusion Equations

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Residual power series method for time-fractional Schrödinger equations

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Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method

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Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions

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Nonlocal problem for fractional stochastic evolution equations with solution operators

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Approximation technique for fractional evolution equations with nonlocal integral conditions

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Study on fractional non-autonomous evolution equations with delay

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On the initial value problem of fractional evolution equations with noncompact semigroup

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A class of fractional evolution equations and optimal controls

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Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay

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Existence results for an evolution problem with fractional nonlocal conditions

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Nonlocal Cauchy problem for abstract fractional semilinear evolution equations

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Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions

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Compactons: Solitons with finite wavelength

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Compact and noncompact structures for nonlinear fractional evolution equations

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Nonlinear dispersive special type of the Zakharov--Kuznetsov equation ZK(\(n\),\(n\)) with compact and noncompact structures

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On a class of nonlinear dispersive-dissipative interactions

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The tanh method for compact and noncompact solutions for variants of the KdV-Burgers and the \(K(n,n)\)-Burgers equations

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Bio‐thermal convection caused by combined effects of swimming of oxytactic bacteria and inclined temperature gradient in a shallow fluid layer

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New exact solitary-wave solutions for the \(K(2, 2, 1)\) and \(K(3, 3, 1)\) equations

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Identifiers

zbMATH Open document ID

1446.35248

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Mathematics Subject Classification ID

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10.1186/S13662-018-1601-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:1712124