Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations

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1. Referans1 Alqifiary, Q.H.: Note on the stability for linear systems of differential equations. International Journal of Applied Mathematical Research. 3, no. 1, 15-22 (2014). Referans2 Alsina, C., Ger, R.: On some inequalities and stability results related to the exponential function. J. Inequal. Appl. 2, no.4, 373-380 (1998). Referans3 András, S., Mészáros, A.R.: Ulam-Hyers stability of dynamic equations on time scales via Picard operators. Appl. Math. Comput. 219, 4853-4864 (2013). Referans4 Aoki, T.: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Japan. 2, 64-66 (1950). Referans5 Bourgin, D.G.:Classes of transformations and bordering transformations. Bull. Amer. Math. Soc. 57, 223-237 (1951). Referans6 Cãdariu, L., Radu, V.: On the Stability of the Cauchy Functional Equation: A Fixed Point Approach, Iteration theory (ECIT ’02), Grazer Math. Ber. 346, 43-52 (2004). Referans7 Hyers, D.H.: On the stability of the linear functional equation. Proc. Nat. Acad. Sci. U.S.A. 27, 222-224 (1941). Referans8 Jung, S.M.: Hyers-Ulam stability of linear differential equations of first order. Appl. Math. Lett. 17, no. 10, 1135-1140 (2004). Referans9 Jung, S.M.: Hyers-Ulam stability of linear differential equations of first order III. J. Math. Anal. Appl. 311, no. 1, 139-146 (2005). Referans10 Jung, S.M.: Hyers-Ulam stability of linear differential equations of first order II. Appl. Math. Lett. 19, no. 9, 854-858 (2006). Referans11 Jung, S.M.: A fixed point approach to the stability of differential equations. Bull. Malays. Math. Sci. Soc. (2) 33, no. 1, 47-56 (2010). Referans12 Jung, S.M., Brzdek, J.: Hyers-Ulam stability of the delay Equation. Abstract and Applied Analysis 2010, Article ID 372176, 10 pages (2010). Referans13 Jung, S.M., Rassias, T.M.: Generalized Hyers-Ulam stability of Riccati differential equation. Math. Inequal. Appl. 11, no. 4, 777-782 (2008). Referans14 Li, X., Wang, J.: Ulam-Hyers-Rassias stability of semilinear differential equations with impulses. Electronic J. Differential Equations. 2013, no. 172, 1-8 (2013). Referans15 Miura, T.: On the Hyers-Ulam stability of a differentiable map. Sci. Math. Japan. 55, 17-24 (2002). Referans16 Miura, T., Jung, S.M., Takahasi, S.E.: Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations. J. Korean Math. Soc. 41, 995-1005 (2004). Referans17 Miura, T., Miyajima, S., Takahasi, S.E.: A characterization of Hyers-Ulam stability of first order linear