TY - JOUR AU - Altoum, Sami H. PY - 2018 TI - q- sl2 and Associated Wave and Heat Equations JF - American Journal of Applied Sciences VL - 15 IS - 5 DO - 10.3844/ajassp.2018.261.266 UR - https://thescipub.com/abstract/ajassp.2018.261.266 AB - For q∈(0, 1), the q- deformation of the sl2 Lie algebra (denoted by q-sl2) is introduced and we give its representation. The heat and wave equations associated to the genrators of the q-sl2 are studied.