Optimal Approximation of Fractional Order Brain Tumor Model Using Generalized Laguerre Polynomials

A brain tumor occurs when abnormal cells form within the brain. Glioblastoma (GB) is an aggressive and fast-growing type of that invades tissue or spinal cord. GB evolves from astrocytic glial in central nervous system. can occur at almost any age, but occurrence increases with advancing age older adults. Its symptoms may include nausea, vomiting, headaches, even seizures. GB, formerly known as glioblastoma multiforme, currently has no cure a high rate resistance to therapy clinical treatment. However, treatments slow progression alleviate signs symptoms. In this paper, fractional order model was considered. The optimal solution obtained using optimization method based on operational matrices. problem under study expanded terms generalized Laguerre polynomials (GLPs). shifted system nonlinear algebraic equations by use Lagrange multipliers combined matrices GLPs. analysis convergence discussed. end, some numerical examples were presented justify theoretical statements along patterns biological behavior.