This paper investigates the emergence of mobility edges (ME) in quasicrystals under the influence of pure dephasing effects. Mobility edges are energy thresholds that separate localized and extended states in disordered systems. Traditionally, dephasing is believed to disrupt Anderson localization and enhance transport, making ME less likely to be observed. However, this study demonstrates that ME can be created by dephasing in quasicrystals, where all states are delocalized under coherent dynamics. The results are illustrated using photonic quantum walks in synthetic mesh lattices. The paper begins by introducing Anderson localization and mobility edges, which are fundamental concepts in disordered systems. It then discusses how dephasing effects, which are known to disrupt localization and enhance transport, can paradoxically create ME and enhance localization in certain systems. The study focuses on two models: the generalized diagonal Aubry-André model and the off-diagonal Aubry-André model. In the generalized model, ME are observed at specific energy levels, while the off-diagonal model does not exhibit ME. However, when dephasing is introduced, ME can be created in the off-diagonal model, leading to the localization of excitation in the lattice. The paper presents a model of a tight-binding one-dimensional lattice with aperiodic order, described by a Hamiltonian that includes hopping amplitudes and on-site potentials. The study uses numerical simulations to analyze the localization properties of eigenstates, characterized by the inverse participation ratio (IPR) and fractal dimension. The results show that dephasing can create ME and slow down delocalization in the lattice. The paper also discusses the implications of these findings for photonic quantum walks in synthetic quasicrystals. It shows that dephasing-induced ME can be observed in such systems, with the spreading dynamics of initial single-site excitations being significantly slowed down. The study concludes that dephasing can slow down transport in disordered lattices, contrary to the common belief that dephasing enhances transport. This result has potential relevance in various physical, chemical, and biological systems where disorder and dephasing noise play a crucial role.This paper investigates the emergence of mobility edges (ME) in quasicrystals under the influence of pure dephasing effects. Mobility edges are energy thresholds that separate localized and extended states in disordered systems. Traditionally, dephasing is believed to disrupt Anderson localization and enhance transport, making ME less likely to be observed. However, this study demonstrates that ME can be created by dephasing in quasicrystals, where all states are delocalized under coherent dynamics. The results are illustrated using photonic quantum walks in synthetic mesh lattices. The paper begins by introducing Anderson localization and mobility edges, which are fundamental concepts in disordered systems. It then discusses how dephasing effects, which are known to disrupt localization and enhance transport, can paradoxically create ME and enhance localization in certain systems. The study focuses on two models: the generalized diagonal Aubry-André model and the off-diagonal Aubry-André model. In the generalized model, ME are observed at specific energy levels, while the off-diagonal model does not exhibit ME. However, when dephasing is introduced, ME can be created in the off-diagonal model, leading to the localization of excitation in the lattice. The paper presents a model of a tight-binding one-dimensional lattice with aperiodic order, described by a Hamiltonian that includes hopping amplitudes and on-site potentials. The study uses numerical simulations to analyze the localization properties of eigenstates, characterized by the inverse participation ratio (IPR) and fractal dimension. The results show that dephasing can create ME and slow down delocalization in the lattice. The paper also discusses the implications of these findings for photonic quantum walks in synthetic quasicrystals. It shows that dephasing-induced ME can be observed in such systems, with the spreading dynamics of initial single-site excitations being significantly slowed down. The study concludes that dephasing can slow down transport in disordered lattices, contrary to the common belief that dephasing enhances transport. This result has potential relevance in various physical, chemical, and biological systems where disorder and dephasing noise play a crucial role.