| 1 | András S , Mészáros A R . Ulam-Hyers stability of dynamic equations on time scales via Picard operators. Appl Math Comput, 2013, 219, 4853- 4864 | | 2 | Gejji V D , Babakhani A . Analysis of a system of fractional differential equations. J Math Anal Appl, 2004, 293, 511- 522 | | 3 | Gordji M E , Cho Y , Ghaemi M , Alizadeh B . Stability of the second order partial differential equations. J Inequa Appl, 2011, 81, 1- 10 | | 4 | Hegyi B , Jung S M . On the stability of Laplace's equation. Appl Math Lett, 2013, 26, 549- 552 | | 5 | Hyers D H . On the stability of the linear functional equation. Pro Natl Acad Sci USA, 1941, 27, 222- 224 | | 6 | Jarad F , Abdeljawad T . Generalized fractional derivatives and Laplace transform. Discrete Contin Dyn Syst Ser S, 2020, 13, 709- 722 | | 7 | Jung S M . Hyers-Ulam stability of linear differential equations of first order. Appl Math Lett, 2004, 17, 1135- 1140 | | 8 | Jung S M . Hyers-Ulam stability of linear differential equations of first order, Ⅲ. J Math Anal Appl, 2005, 311, 139- 146 | | 9 | Jung S M . Hyers-Ulam stability of linear differential equations of first order, Ⅱ. Appl Math Lett, 2006, 19, 854- 858 | | 10 | Jung S M . Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients. J Math Anal Appl, 2006, 320, 549- 561 | | 11 | Kilbas A A , Srivastava H M , Trujillo J J . Theory and Applications of Fractional Differential Equations. Amsterdam: Elsevier, 2006 | | 12 | Li K , Peng J . Laplace transform and fractional differential equations. Appl Math Lett, 2011, 24, 2019- 2023 | | 13 | Lungu N , Popa D . Hyers-Ulam stability of a first order partial differential equation. J Math Anal Appl, 2012, 385, 86- 91 | | 14 | Obloza M . Hyers stability of the linear differential equation. Rocznik Nauk-Dydakt Prace Mat, 1993, 13, 259- 270 | | 15 | Obloza M . Connections between Hyers and Lyapunov stability of the ordinary differential equations. Rocznik Nauk-Dydakt Prace Mat, 1997, 14, 141- 146 | | 16 | Podlubny I . Fractional Differential Equations. San Diego: Academic Press, 1999 | | 17 | Popa D , Ra?a I . On the Hyers-Ulam stability of the linear differential equation. J Math Anal Appl, 2011, 381, 530- 537 | | 18 | Rassias Th M . On the stability of the linear mapping in Banach spaces. Proc Amer Math Soc, 1978, 72, 297- 300 | | 19 | Rezaei H , Jung S M , Rassias T M . Laplace transform and Hyers-Ulam stability of linear differential equations. J Math Anal Appl, 2013, 403, 244- 251 | | 20 | Shen Y , Chen W . Laplace transform method for the Ulam stability of linear fractional differential equations with constant coefficients. Mediterr J Math, 2017, 14, 1- 17 | | 21 | Sun H G , Zhang Y , Baleanu D , et al. A new collection of real world applications of fractional calculus in science and engineering. Commun Nonlinear Sci Numer Simul, 2018, 64, 213- 231 | | 22 | Ulam S M . Problems in Modern Mathematics. New York: Wiley, 1960 | | 23 | Wang J , Zhou Y . Mittag-Leffler-Ulam stabilities of fractional evolution equations. Appl Math Lett, 2012, 25, 723- 728 | | 24 | Wang J , Li X . A uniform method to Ulam-Hyers stability for some linear fractional equations. Mediterr J Math, 2016, 13, 625- 635 | | 25 | Wang C, Xu T Z. Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. J Funct Spaces, 2014, 2014: Article ID: 398673 | | 26 | Wang C , Xu T Z . Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives. Appl Math, 2015, 60, 383- 393 | | 27 | Wang C , Xu T Z . Hyers-Ulam stability of differential operators on reproducing kernel function spaces. Complex Anal Oper Theory, 2016, 10, 795- 813 | | 28 | Wang C , Xu T Z . Hyers-Ulam stability of a class of fractional linear differential equations. Kodai Math J, 2015, 38, 510- 520 | | 29 | Wang C , Xu T Z . Stability of the nonlinear fractional differential equations with the right-sided Riemann-Liouville fractional derivative. Discrete Contin Dyn Syst Ser S, 2017, 10, 505- 521 | | 30 | Wang C. Hyers-Ulam-Rassias stability of the generalized fractional systems and the ρ-Laplace transform method. Mediterr J Math, 2021, 18(4): Article number: 129 | | 31 | Xu T Z , Wang C , Rassias Th M . On the stability of multi-additive mappings in non-Archimedean normed spaces. J Comput Anal Appl, 2015, 18, 1102- 1110 | | 32 | Xu T Z . On the stability of multi-Jensen mappings in β-normed spaces. Appl Math Lett, 2012, 25, 1866- 1870 | | 33 | 王春. 一类分数阶系统的稳定性和Laplace变换. 数学物理学报, 2019, 39A (1): 49- 58 | | 33 | Wang C . Stability of some fractional systems and Laplace transform. Acta Math Sci, 2019, 39A (1): 49- 58 |
|