An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations
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Publication:2700092
DOI10.1007/s12190-022-01743-wOpenAlexW4229065053WikidataQ115377091 ScholiaQ115377091MaRDI QIDQ2700092
Publication date: 20 April 2023
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-022-01743-w
error analysisoperational matrixCaputo fractional derivativeVolterra-Fredholm integro-differential equationfractional order Lagrange polynomials
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Numerical methods for integral equations, integral transforms (65Rxx)
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Cites Work
- Qualitative analysis and numerical solution of Burgers' equation via B-spline collocation with implicit Euler method on piecewise uniform mesh
- Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
- Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
- Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method
- A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
- A singular perturbation approach to solve Burgers-Huxley equation via monotone finite difference scheme on layer-adaptive mesh
- Solving fractional integral equations by the Haar wavelet method
- Numerical methods for fourth-order fractional integro-differential equations
- Generalized Taylor's formula
- Fractional generalized splines and signal processing
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Long memory processes and fractional integration in econometrics
- Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
- Analytical solution of system of Volterra integral equations using OHAM
- A Legendre collocation method for fractional integro-differential equations
- An operational Haar wavelet method for solving fractional Volterra integral equations
- Existence and controllability of nonlocal mixed <scp>Volterra‐Fredholm</scp> type fractional delay integro‐differential equations of order 1 < r < 2
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