___

• L. Chen, Y. He, Y. Chai and R. Wu, New results on stability and stabilization of a class of nonlinear fractional-order systems, Nonlinear Dyn. 75 (4), 633–641, 2014.
• L. Chen, C. Liu, R. Wu, Y. He and Y. Chai, Finite-time stability criteria for a class of fractional-order neural networks with delay, Neural Comput. Appl. 27 (3), 549–556, 2016.
• L. Chen, R. Wu, J. Cao and J.B. Liu, Stability and synchronization of memristorbased fractional-order delayed neural networks, Neural Netw., 71, 37–44, 2015.
• L. Chen, R. Wu, Z. Chu and Y. He, Stabilization of fractional-order coupled systems with time delay on networks, Nonlinear Dyn. 88 (1), 521–528, 2017.
• K. Diethelm and A.D. Freed, On the solution of nonlinear fractional-order differential equations used in the modeling of viscoplasticity, in: Scientific Computing in Chemical Engineering II, 217–224, Springer, Berlin, Heidelberg, 1999.
• A.M. El-Sayed, Fractional-order diffusion-wave equation, Internat. J. Theoret. Phys. 35 (2), 311–322, 1996.
• W.G. Glockle and T.F. Nonnenmacher, A fractional calculus approach to self-similar protein dynamics, Biophys. J. 68 (1), 46–53, (1995).
• R. Hilfer, ed., Applications of fractional calculus in physics, World Scientific, 2000.
• D.H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA 27 (4), 222–224, 1941.
• D.H. Hyers, G. Isac and T.M. Rassias, Stability of functional equations in several variables, Birkhuser Boston. Inc., Boston, MA, 1998.
• S.M. Jung, Hyers-Ulam-Rassias stability of functional equations in mathematical analysis, Hadronic Press, 2001.
• S.M. Jung, Hyers-Ulam stability of linear differential equations of first order, Appl. Math. Lett. 17 (10), 1135–1140, 2004.
• S. Jung, A fixed point approach to the stability of differential equations $y'=F (x, y)$, Bull. Malays. Math. Sci. Soc. 33, 47–56, 2010.
• A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204, 2006.
• X. Li, S. Liu and W. Jiang, Positive solutions for boundary value problem of nonlinear fractional functional differential equations, Appl. Math. Comput. 217 (22), 9278– 9285, 2011.
• S. Liu, X. Li, X.F. Zhou and W. Jiang, Synchronization analysis of singular dynamical networks with unbounded time-delays, Adv. Difference Equ. 193, 1–9, 2015.
• K.S. Miller and B. Ross, An introduction to the fractional calculus and fractional differential equations, Mathematics in Science and Engineering 198, 1993.
• T. Miura, S. Miyajima and S.E. Takahasi, A characterization of Hyers–Ulam stability of first order linear differential operators, J. Math. Anal. Appl. 286 (1), 136–146, 2003.
• T. Miura, S. Miyajima and S.E. Takahasi, Hyers–Ulam stability of linear differential operator with constant coefficients, Math. Nachr. 258 (1), 90–96, 2003.
• M. Obłoza, Hyers stability of the linear differential equation, Rocznik Nauk.-Dydakt. Prace Mat. 13, 259–270, 1993.
• M. Obłoza, Connections between Hyers and Lyapunov stability of the ordinary differential equations, Rocznik Nauk.-Dydakt. Prace Mat. 14, 141–146, 1997.
• D. Otrocol and V. Ilea, Ulam stability for a delay differential equation, Open Math. 11 (7), 1296–1303, 2013.
• I. Podlubny, Fractional Differential Equations, Academic Press, London, 1999.
• T.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (2), 297–300, 1978.
• M.U. Rehman, R.A. Khan and N.A. Asif, Three point boundary value problems for nonlinear fractional differential equations, Acta Math. Sci. 31 (4), 1337–1346, 2011.
• I.A. Rus, Ulam stability of ordinary differential equations, Stud. Univ. Babe(¸s)-Bolyai Math. 54, 125–133, 2009.
• U. Saeed, CAS Picard method for fractional nonlinear differential equation, Appl. Math. Comput. 307, 102–112, 2017.
• S.E. Takahasi, T. Miura and S. Miyajima, On the Hyers-Ulam stability of the Banach spacevalued differential equation $y'=\lambda y$, Bull. Korean Math. Soc. 39 (2), 309–315, 2002.
• S.M. Ulam, A Collection of Mathematical Problems, Interscience Publishers. Inc., New York, 1968.
• J. Wang, M. Fec and Y. Zhou, Ulam’s type stability of impulsive ordinary differential equations, J. Math. Anal. Appl. 395 (1), 258–264, 2012.
• J. Wang, L. Lv and Y. Zhou, Ulam stability and data dependence for fractional differential equations with Caputo derivative, Electron. J. Qual. Theory Differ. Equ. 63, 1–10, 2011.
• J. Wang, L. Lv and Y. Zhou, New concepts and results in stability of fractional differential equations, Commun. Nonlinear Sci. Numer. Simul. 17 (6), 2530–2538, 2012.
• J. Wang and Y. Zhou, Mittag-Leffler–Ulam stabilities of fractional evolution equations, Appl. Math. Lett. 25 (4), 723–728, 2012.
• J. Wang, Y. Zhou and M. Fec, Nonlinear impulsive problems for fractional differential equations and Ulam stability, Comput. Math. Appl. 64 (10), 3389–3405, 2012.
• W.Wei, X. Li and X. Li, New stability results for fractional integral equation, Comput. Math. Appl. 64 (10), 3468–3476, 2012.