Certainly, here are some properties of the operator \(J^\rho\) (He 2000; Miller and Ross 1993), for \(\phi \in C_\lambda, \lambda \ge -1, \rho, \xi > 0\) listed as1
References
1Batool S, Arshad M, Perveen N, Sarwar S. Bright optical solution for fractional Lakshmanan–Porsezian–Daniel with spatio temporal dispersion by improved Adomian decomposition method. Opt Quant Electron. 2024;56(7):1137. doi:10.1007/s11082-024-07048-5