New solutions for system of fractional integro-differential equations and Abel's integral equations by Chebyshev spectral method
DOI10.1155/2017/7853839zbMath1426.65223OpenAlexW2602512207WikidataQ59147783 ScholiaQ59147783MaRDI QIDQ1993140
Yara M. Sayed, Seham Sh. Tantawy, Hassan A. Zedan
Publication date: 5 November 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2017/7853839
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Theoretical approximation of solutions to functional-differential equations (34K07) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fractional ordinary differential equations (34A08) 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
- Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls
- Discrete Galerkin method for fractional integro-differential equations
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- Solution of fractional integro-differential equations by using fractional differential transform method
- Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
- On solving a system of singular Volterra integral equations of convolution type
- A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
- Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
- A new operational matrix for solving fractional-order differential equations
- Efficient algorithms to solve singular integral equations of Abel type
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Application of global optimization and radial basis functions to numerical solutions of weakly singular Volterra integral equations
- The operational matrix of fractional integration for shifted Chebyshev polynomials
- A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
- An efficient method for solving systems of fractional integro-differential equations
- An operational Haar wavelet method for solving fractional Volterra integral equations
- Parameter identification via Laguerre polynomials
- An efficient spectral method for ordinary differential equations with rational function coefficients
- Legendre series approach to identification and analysis of linear systems
