The Mixed Boundary Value Problems and Chebyshev Collocation Method for Caputo-Type Fractional Ordinary Differential Equations
نویسندگان
چکیده
The boundary value problem (BVP) for the varying coefficient linear Caputo-type fractional differential equation subject to mixed conditions on interval 0≤x≤1 was considered. First, BVP converted into an equivalent differential–integral merging conditions. Then, shifted Chebyshev polynomials and collocation method were used solve equation. Varying coefficients also decomposed truncated series such that calculations of integrals only can be carried out exactly. Finally, numerical examples examined effectiveness proposed verified.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2022
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract6030148