2020年7月28日,数据恢复四川省重点实验室大数据智能决策方向刘好斌老师团队在国际期刊《Complexity》(IF:2.462,SCI二区)发表题为《On the Fractional View Analysis of Keller-Segel Equations with Sensitivity Functions》的研究论文。
ABSTRACT:In this paper, the fractional view analysis of the Keller–Segal equations with sensitivity functions is presented. (e Caputo operator has been used to pursue the present research work. (e natural transform is combined with the homotopy perturbation method, and a new scheme for implementation is derived. (e modified established method is named as the homotopy perturbation transform technique. (e derived results are compared with the solution of the Laplace Adomian decomposition technique by using the systems of fractional Keller–Segal equations. (e solution graphs and the table have shown that the obtained results coincide with the solution of the Laplace Adomian decomposition method. Fractionalorder solutions are determined to confirm the reliability of the current method. It is observed that the solutions at various fractional orders are convergent to an integer-order solution of the problems. (e suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems.