Collocation method for fractional differential equations using hybrid fractional-order Chelyshkov functions

Abstract In this paper, we introduce a new numerical method based on the hybrid of fractional-order Chelyshkov functions and block-pulse functions for solving fractional differential equations. The fractional derivatives are considered in the Caputo sense. The exact formula for the Riemann-Liouville...

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Autors principals:	M. S. Al-Sharif, A. I. Ahmed, M. S. Salim
Format:	Artigo
Idioma:	Inglês
Publicat:	SpringerOpen 2025-09-01
Col·lecció:	Boundary Value Problems
Matèries:	Hybrid functions Fractional-order Chelyshkov functions Block-pulse functions Fractional differential equations Collocation method Laplace transform
Accés en línia:	https://doi.org/10.1186/s13661-025-02124-5
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