Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions

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Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations (2021, methodology): “If z t ð Þ and ABC 0 D 1 ð Þ t z t ð Þ satisfy Equation (35), then z t ð Þ is said a γ2-fuzzy ABC solution of Equation (32).”
Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis (2019, methodology): “Iterative and numeric schemes of the RKHSM have been modified and provided to handle the solutions behaviors by utilizing linear differential operator in Hilbert spaces.(26-48) In the sense of modern theoretical utilization, the pattern of this article is as follows:”