Establishes local and global well-posedness for nonlinear time-space fractional Schrödinger equations with Achar time derivative and phi(-Delta) space operator via Gagliardo-Nirenberg inequalities in phi-Triebel-Lizorkin spaces.
Zhou, Fractional Diffusion and Wave Equations: Well-posedness and Inverse Prob- lems, Springer, Berlin
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Local/global well-posedness analysis of time-space fractional Schr\"{o}dinger equation on $\mathbb{R}^{d}$
Establishes local and global well-posedness for nonlinear time-space fractional Schrödinger equations with Achar time derivative and phi(-Delta) space operator via Gagliardo-Nirenberg inequalities in phi-Triebel-Lizorkin spaces.