pell wavelet optimization method for solving time‎-fractional convection diffusion equations arising in science and medicine

‎here‎, ‎we present a composition method for solving time-fractional convection-diffusion equations (tf-cdes)‎. ‎the main aims of the technique are to use pell wavelets and convert the considered problem into fractional partial integro-differential equations‎, ‎utilizing the riemann-liouville fractional integration (rl)‎.‎for this approach‎, ‎we consider pell wavelets as an efficient tool to develop the method‎. ‎we compute the rl pseudo-operational matrix for these functions‎. ‎taking rl for the considered problem and using the properties of rl‎, ‎with the help of a pseudo-operational matrix and optimization scheme‎, ‎we present the framework of the suggested scheme‎. ‎moreover‎, ‎for approximate results‎, ‎we evaluate the upper bound of errors‎. ‎as a result‎, ‎we apply the method by solving some numerical samples‎. ‎our approximate results illustrate that the computational scheme is powerful and applicable to solve the mentioned problems‎, ‎and we can implement this to solve different kinds of fractional problems‎.