scientific article; zbMATH DE number 7153939
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Publication:5210472
zbMath1441.45004MaRDI QIDQ5210472
Publication date: 20 January 2020
Full work available at URL: http://www.pvamu.edu/aam/wp-content/uploads/sites/182/2019/12/27-R1109_AAM_CN_Nahak_012618_Published_121119.pdf
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Chebyshev polynomialsLaguerre polynomialsfractional calculusgeneralized Abel's integral equationsorthogonal approximation
Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
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Cites Work
- Use of Abel integral equations in water wave scattering by two surface-piercing barriers
- Ordinary and partial differential equations. With special functions, Fourier series, and boundary value problems
- Abel integral equations. Analysis and applications
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solution of a system of generalized Abel integral equations using fractional calculus
- An efficient approximation technique for solving a class of fractional optimal control problems
- Approximate solution of nonlinear quadratic integral equations of fractional order via piecewise linear functions
- Solving Abel's type integral equation with Mikusinski's operator of fractional order
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