Abstract
<abstract> In this paper, we present a numerical method to solve space-time fractional partial differential equations. We introduce $ \psi$-shifted Chebyshev polynomials to construct operational matrices of fractional differentiation in the Caputo sense. These operational matrices are then used to find the solution of fractional partial differential equations. The efficiency and applicability of introduced numerical scheme is tested by comparing the proposed numerical approximations with the results obtained from existing numerical methods. </abstract>
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