Euler wavelets method for solving fractional-order linear Volterra-Fredholm integro-differential equations with weakly singular kernels
DOI10.1007/s40314-021-01565-9zbMath1476.65335OpenAlexW3186457152WikidataQ115373589 ScholiaQ115373589MaRDI QIDQ2245723
Publication date: 15 November 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01565-9
weakly singular kernelsoperational matrixEuler waveletsfractional Volterra-Fredholm integro-differential equation
Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Fredholm integral equations (45B05) Volterra integral equations (45D05)
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Cites Work
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- Discrete Galerkin method for fractional integro-differential equations
- Spline collocation for fractional weakly singular integro-differential equations
- A new improved Adomian decomposition method and its application to fractional differential equations
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
- Homotopy analysis method for higher-order fractional integro-differential equations
- SCW method for solving the fractional integro-differential equations with a weakly singular kernel
- Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method
- A new approach for the nonlinear fractional optimal control problems with external persistent disturbances
- Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel
- Remarks on some relationships between the Bernoulli and Euler polynomials.
- Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method
- An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations
- Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials
- New general solutions to linear Fredholm integro-differential equations and their applications on solving the boundary value problems
- On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel
- An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
- A numerical approach for solving nonlinear fractional Volterra–Fredholm integro-differential equations with mixed boundary conditions
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Fractional calculus in the transient analysis of viscoelastically damped structures
- A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro‐differential equations with weakly singular kernels
- CAS wavelet method for solving the fractional integro-differential equation with a weakly singular kernel
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