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

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

Abstract The shifted Chebyshev polynomials of the fifth kind (SCPFK) and the collocation method are employed to achieve approximate solutions of a category of the functional equations, namely variable-order time-fractional weakly singular partial integro-differential equations (VTFWSPIDEs). A pseudo...

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Bibliographic Details
Main Authors: Khadijeh Sadri, Kamyar Hosseini, Dumitru Baleanu, Ali Ahmadian, Soheil Salahshour
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Advances in Difference Equations
Subjects:
Variable-order time-fractional weakly singular partial integro-differential equations
Pseudo-operational matrix
Fifth-kind Chebyshev polynomials
Caputo derivative
Riemann–Liouville integral
Online Access:https://doi.org/10.1186/s13662-021-03507-5

Internet

https://doi.org/10.1186/s13662-021-03507-5

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