1. Cui, S.: Local and global existence of solutions to semilinear parabolic initial value problems. Nonlinear Anal. 43, 293–323 (2001)
2. Fellah, Z.E.A., Depollier, C., Lauriks, W., Sebaa, N.: Application of fractional calculus to ultrasonic wave propagation in human cancellous bone. Signal Process. Arch. 86(10), 2668–2677 (2006)
3. Kainane Mezadek, A., Reissig, M.: Semi-linear fractional $$\sigma $$-evolution equations with mass or power non-linearity. Nonlinear Differ. Equ. Appl. 25(42), 1–43 (2018)
4. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and applications of fractional differential equations. North-Holland Mathematics Studies, vol. 204. Elsevier Science B.V., Amsterdam (2006)
5. Kulish, V.V., Lage, J.L.: Application of fractional calculus to fluid mechanics. J. Fluids Eng. 124(3), 803–806 (2002)