Collocation method with convergence for generalized fractional integro-differential equations
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Publication:1639560
DOI10.1016/j.cam.2018.04.033zbMath1460.65166OpenAlexW2801483604MaRDI QIDQ1639560
Rajesh K. Pandey, Kamlesh Kumar, Shiva Sharma
Publication date: 13 June 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.04.033
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
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- Collocation method for generalized Abel's integral equations
- Operational tau approximation for a general class of fractional integro-differential equations
- Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- Solving linear integro-differential equation system by Galerkin methods with hybrid functions
- Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
- Generalized variational problems and Euler-Lagrange equations
- Fractional integro-differential equations for electromagnetic waves in dielectric media
- Fractional differential equations in electrochemistry
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Wavelet-Galerkin method for integro-differential equations
- Numerical solution of fractional integro-differential equations by least squares method and shifted Chebyshev polynomial
- Application of the collocation method for solving nonlinear fractional integro-differential equations
- Numerical solution of fractional integro-differential equations by a hybrid collocation method
- Numerical solution of fractional integro-differential equations by collocation method
- A Legendre collocation method for fractional integro-differential equations
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Optimum ground states for spin- ladders with two legs
- On fractional calculus and fractional multipoles in electromagnetism
