Analytic Solution for the Strongly Nonlinear Multi-Order Fractional Version of a BVP Occurring in Chemical Reactor Theory

This study is devoted to constructing an approximate analytic solution of the fractional form a strongly nonlinear boundary value problem with multi-fractional derivatives that comes in chemical reactor theory. We construct algorithm based on generalized differential transform technique four simple steps. The derivative defined sense Caputo. also mathematically prove convergence algorithm. applicability and effectiveness given scheme are justified by simulating equation for parameter values presented system compared existing published results case standard derivatives. In addition, residual error computation used check algorithm’s correctness. several tables figures. goal this justify effects importance proposed problem. generalization adopted integer-order into fractional-order which includes memory main novelty research.