Mathematical model for conversion of groundwater flow from confined to unconfined aquifers with power law processes

Abstract In this work, we propose a mathematical model to depict the conversion of groundwater flow from confined unconfined aquifers. The problem occurs due heavy pumping aquifers over time, which later leads depletion an aquifer system. phenomenon is interesting one, hence several models have been developed and used capture process. However, one can point out that has limitations its own, as it cannot effect fractures exist in aquitard. Therefore, suggest where classical differential operator based on rate change substituted by non-conventional including represent processes following power law memory effect. Moreover, revise properties aquitard evaluate behaviors during process different setting. Numerical analysis was performed new numerical solutions were obtained, well simulations for various fractional order values.