Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel

DOI10.1186/s13662-021-03507-5zbMath1494.65104OpenAlexW3184633458WikidataQ115241200 ScholiaQ115241200MaRDI QIDQ2167097

Ali Ahmadian, Kamyar Hosseini, Khadijeh Sadri, Soheil Salahshour, Dumitru Baleanu

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03507-5

zbMATH Keywords

Caputo derivativeRiemann-Liouville integralfifth-kind Chebyshev polynomialspseudo-operational matrixvariable-order time-fractional weakly singular partial integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (8)

Study on the Biswas-Arshed equation with the beta time derivative ⋮ The exact solutions of the conformable time fractional version of the generalized Pochhammer-Chree equation ⋮ An efficient numerical approach for solving variable-order fractional partial integro-differential equations ⋮ Taylor collocation method for solving two‐dimensional partial Volterra integro‐differential equations ⋮ An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation ⋮ Novel spectral schemes to fractional problems with nonsmooth solutions ⋮ Chebyshev polynomials of sixth kind for solving nonlinear fractional PDEs with proportional delay and its convergence analysis ⋮ A high resolution Hermite wavelet technique for solving space-time-fractional partial differential equations

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