[
[1] R. P. Agarwal, Y. Zhou and Y. He, Existence of fractional functional differential equations, Comput. Math. Appl. 59 (2010), 1095-1100.10.1016/j.camwa.2009.05.010
]Search in Google Scholar
[
[2] R. Atmania and S. Bouzitouna, Existence and Ulam Stability results for two-orders fractional differential Equation, Acta Math. Univ. Comenianae, LXXXVIII (1) (2019), 1-12.
]Search in Google Scholar
[
[3] K. Balachandran, S. Kiruthika, J. J. Trujillo, Existence of solution of nonlinear fractional pantograph equations, Acta Math. Sci. 33 (3) (2013), 712–720.10.1016/S0252-9602(13)60032-6
]Search in Google Scholar
[
[4] M. Benchohra, J. Henderson, S. K. Ntouyas and A. Ouahab, Existence results for fractional order functional differential equations with infinite delay, J. Math. Anal. Appl. 338 (2008), 1340-1350.10.1016/j.jmaa.2007.06.021
]Search in Google Scholar
[
[5] M. Benchohra, J. E. Lazreg, Existence and Ulam stability for non-linear implicit fractional differential equations with Hadamard derivative, Studia Universitatis Babe-Bolyai Mathematica 62 (1) (2017), 27-38.10.24193/subbmath.2017.0003
]Search in Google Scholar
[
[6] E. Capelas de Oliveira, C. Vanterler, J. Sousa, Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation, Appl. Math. Let. 81 (2018), 50–56.10.1016/j.aml.2018.01.016
]Search in Google Scholar
[
[7] P. Gavruta, L. Gavruta, A new method for generalized Hyers-Ulam-Rassias stability, Int. J. Nonlinear Anal. Appl. 1 (2) (2010), 11-18.
]Search in Google Scholar
[
[8] S. Hristova, C. Tunc, Stability of nonlinear Volterra integro-differential equations with Caputo fractional derivative and bounded delays, EJDE (30) (2019), 1-11.
]Search in Google Scholar
[
[9] D. H. Hyers, On the stability of the linear functional equation, Proceedings of the National Academy of Sciences of the United States of America 27 (1941), 222–224.10.1073/pnas.27.4.222107831016578012
]Search in Google Scholar
[
[10] D. H. Hyers, G. Isac, Th. M. Rassias, Stability of functional equations in several variables, Birkhauser, 1998.10.1007/978-1-4612-1790-9
]Search in Google Scholar
[
[11] R. W. Ibrahim, Generalized Ulam-Hyers stability for fractional differential equations, Int. J. Math. 23 (5) (2012), 1250056 (9 pages).10.1142/S0129167X12500565
]Search in Google Scholar
[
[12] S. M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis, Springer, New York, 2011.10.1007/978-1-4419-9637-4
]Search in Google Scholar
[
[13] A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies 204 (2006).
]Search in Google Scholar
[
[14] Y. Kuang, Delay differential equations: with applications in population dynamics, Vol. 191 of Mathematics in Science and Engineering, Academic Press, New York, 1993.
]Search in Google Scholar
[
[15] J. T. Machado, V. Kiryakova, F. Mainardi, Recent history of fractional calculus, Commun. Nonlinear Sci. Numer. Simul. 16 (3) (2011), 1140-1153.10.1016/j.cnsns.2010.05.027
]Search in Google Scholar
[
[16] I. Podlubny, Fractional Differential Equations, Academic Press, Mathematics in Science and Engineering 198, Academic Press, New York, 1999.
]Search in Google Scholar
[
[17] S. M. Ulam, Problems in Modern Mathematics, Science Editions, Chapter 6, Wiley, New York, NY, USA, 1960.
]Search in Google Scholar
[
[18] S. M. Ulam, A Collection of Mathematical Problems, Interscience Publishers, New York, 1968.
]Search in Google Scholar
[
[19] F. Wang, Existence and uniqueness of solutions for a nonlinear fractional differential equation, Appl. Math. Comput. (2012), 39–53. doi.org/10.1007/s12190-011-0509-9.
]Open DOISearch in Google Scholar
[
[20] J. Wang, L. Lv, Y. Zhou, Ulam stability and data dependence for fractional differential equations with Caputo derivative, Electron. J. Qual. Theory Differ. Equ. 63 (2011), 1–10.10.14232/ejqtde.2011.1.63
]Search in Google Scholar
[
[21] J. Wang, Y. Zhang, Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations, Optimization 63 (2014), 1181–90.10.1080/02331934.2014.906597
]Search in Google Scholar
[
[22] H. Ye, J. Gao, Y. Ding, A generalized Gronwall inequality and its application to a fractional differential equation, J. Math. Anal. Appl. 328 (2007), 1075–1081.10.1016/j.jmaa.2006.05.061
]Search in Google Scholar
