Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space

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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:”
Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations (2021, unknown): “z t ð Þ= z 0 ð Þ+ 1−γ Λ γ ð Þ f t,z t ð Þ ð Þ+ γ Λ γ ð ÞΓ γ ð Þ ðt 0 f s,z s ð Þ ð Þ t−s ð Þds+ 1−γ Λ γ ð Þ ðt 0 k t,τ ð Þg z τ ð Þ ð Þdτ+ γ Λ γ ð ÞΓ γ ð Þ ðt 0 ðs 0 k s,τ ð Þg z τ ð Þ ð Þ t−s ð Þdτ ds: ð38Þ For Phase (ii), one can implement fuzzy integration and fuzzy inversion formula in Equation ”