Smoothing transformation and spline collocation for nonlinear fractional initial and boundary value problems-Reference-Cited by-同舟云学术

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

Published:2017-06 Issue: Volume:317 Page:1-16
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Pedas Arvet,Tamme Enn^ORCID,Vikerpuur Mikk

Funder

Estonian Science Foundation

Estonian Ministry of Education and Research

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference36 articles.

1. The Analysis of Fractional Differential Equations;Diethelm,2010

2. Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels;Brunner;SIAM J. Numer. Anal.,2001

3. Theory and Applications of Fractional Differential Equations;Kilbas,2006

4. Fractional Calculus: Models and Numerical Methods;Baleanu,2012

5. Fractional Calculus: An Introduction for Physicists;Herrmann,2014

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1. On the regularity of solutions to a class of nonlinear Volterra integral equations with singularities;Applied Numerical Mathematics;2024-10

2. Collocation-Based Approximation for a Time-Fractional Sub-Diffusion Model;Fractal and Fractional;2023-08-31

3. Numerical schemes for a class of singular fractional integro-differential equations;Applied Numerical Mathematics;2023-08

4. High order approximations of solutions to initial value problems for linear fractional integro-differential equations;Fractional Calculus and Applied Analysis;2023-07-17

5. COLLOCATION BASED APPROXIMATIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS;Mathematical Modelling and Analysis;2023-03-21

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