High order approximations of solutions to initial value problems for linear fractional integro-differential equations (Q6495699)

scientific article; zbMATH DE number 7841334

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English	High order approximations of solutions to initial value problems for linear fractional integro-differential equations	scientific article; zbMATH DE number 7841334

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title

High order approximations of solutions to initial value problems for linear fractional integro-differential equations (English)

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2 May 2024

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A new approach to the numerical solution of weakly singular Volterra integral equations.

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Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

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Stability of two-step spline collocation methods for initial value problems for fractional differential equations

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Algorithms for the fractional calculus: a selection of numerical methods

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

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A note on the well-posedness of terminal value problems for fractional differential equations

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Why fractional derivatives with nonsingular kernels should not be used

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Upper and lower estimates for the separation of solutions to fractional differential equations

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Collocation methods for second-kind Volterra integral equations with weakly singular kernels

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Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations

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The numerical solution of fractional differential equations: speed versus accuracy

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Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations

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A nonpolynomial collocation method for fractional terminal value problems

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Numerical solution of fractional differential equations: a survey and a software tutorial

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Q5699297

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NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS WHICH MAY HAVE A BOUNDARY SINGULARITY

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Modified spline collocation for linear fractional differential equations

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Smoothing transformation and spline collocation for linear fractional boundary value problems

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An efficient collocation method for a Caputo two-point boundary value problem

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Monte Carlo method for fractional-order differentiation

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Monte Carlo method for fractional-order differentiation extended to higher orders

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Collocation methods for general Caputo two-point boundary value problems

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Detailed error analysis for a fractional Adams method with graded meshes

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Fractional derivatives and the fundamental theorem of fractional calculus

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High order methods for weakly singular integral equations with nonsmooth input functions

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Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels

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Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations

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Spline collocation methods for linear multi-term fractional differential equations

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Smoothing transformation and spline collocation for nonlinear fractional initial and boundary value problems

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Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions

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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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Q3141895

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A new collection of real world applications of fractional calculus in science and engineering

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Multidimensional weakly singular integral equations

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Which functions are fractionally differentiable?

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TWO COLLOCATION TYPE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS

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Collocation methods for fractional integro-differential equations with weakly singular kernels

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published in

Fractional Calculus \ Applied Analysis

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Identifiers

Mathematics Subject Classification ID

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10.1007/S13540-023-00186-9

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Mathematics(1 entry)

mardi Publication:6495699