Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of dirichlet functions types in hilbert space with error analysis

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Abstract

In this article, we propose and analyze a computational method for the numerical solutions of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types. The method provide appropriate representation of the solutions in infinite series formula with accurately computable structures. By interrupting the n-term of exact solutions, numerical solutions of linear and nonlinear singular time-fractional equations of nonhomogeneous function type are studied from mathematical viewpoint. The utilized results show that the present method and simulated annealing provide a good scheduling methodology to such singular integrodifferential equations.

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Maayah, B., Yousef, F., Arqub, O. A., Momani, S., & Alsaedi, A. (2019). Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of dirichlet functions types in hilbert space with error analysis. Filomat, 33(12), 3845–3853. https://doi.org/10.2298/FIL1912845M

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