The paper explores the possibility of using non-canonical kinetic terms to drive inflation and quintessence, rather than potential terms. The authors present a model where a scalar field with only kinetic terms behaves like a quintessence component with negative pressure, mimicking the behavior of a field with a potential term. They show that this model has a constant equation of state, similar to the Ratra-Peebles model, and demonstrate that the quintessential solution is a late-time attractor. Additionally, they propose a model for a "phantom" component with an equation of state where \( w = p/\rho < -1 \), which violates the weak energy condition. The paper includes detailed analyses of the phase plane structure, stability, and numerical solutions for both the quintessence and phantom models. The authors also discuss the possibility of reconstructing the Lagrangian from observational data and highlight the fine-tuning problem associated with the initial conditions for the phantom model.The paper explores the possibility of using non-canonical kinetic terms to drive inflation and quintessence, rather than potential terms. The authors present a model where a scalar field with only kinetic terms behaves like a quintessence component with negative pressure, mimicking the behavior of a field with a potential term. They show that this model has a constant equation of state, similar to the Ratra-Peebles model, and demonstrate that the quintessential solution is a late-time attractor. Additionally, they propose a model for a "phantom" component with an equation of state where \( w = p/\rho < -1 \), which violates the weak energy condition. The paper includes detailed analyses of the phase plane structure, stability, and numerical solutions for both the quintessence and phantom models. The authors also discuss the possibility of reconstructing the Lagrangian from observational data and highlight the fine-tuning problem associated with the initial conditions for the phantom model.