Solutions of Volterra Singular Time-Fractional PIDEs

M. Al‐Smadi, Omar Abu Arqub, S. Momani
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Abstract

In this article, a computational algorithm is proposed for the numerical solutions of Volterra singular fractional partial integro-differential equations. By interrupting the 𝑛-term of exact solutions, numerical solution of nonlinear singular fractional equations of nonhomogeneous function type are studied from mathematical viewpoint. The utilized results show that the present algorithm and simulated annealing provide a good scheduling methodology to such singular equations.
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Volterra奇异时间分数型PIDEs的解
本文提出了一种求解Volterra奇异分数阶偏积分微分方程数值解的计算算法。通过中断精确解的𝑛-term,从数学的角度研究了非齐次函数型非线性奇异分数阶方程的数值解。应用结果表明,该算法和模拟退火算法为求解此类奇异方程提供了一种较好的调度方法。
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