A Novel Fractional-Order RothC Model

A new fractional q-order variation of the RothC model for dynamics soil organic carbon is introduced. computational method based on discretization analytic solution along with finite-difference technique are suggested and stability results latter given. The accuracy scheme, in terms temporal step size h, confirmed through numerical testing a constructed solution. effectiveness proposed discrete compared that classical model. Results from real-world experiments show that, by adjusting order q multiplier term ζ(t,q), better match between simulated actual data can be achieved to traditional integer-order