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Casabán, M.-C., Cortés, J.-C., Romero, J.-V., Roselló, M.-D. (2016). Solving Random Homogeneous Linear Second-Order Differential Equations: A Full Probabilistic Description. Mediterr. J. Math. 13 no. 6, 3817–3836. s00009-016-0716-6CasabánM.-C.CortésJ.-C.RomeroJ.-V.RosellóM.-D2016Solving Random Homogeneous Linear Second-Order Differential Equations: A Full Probabilistic Description.638173836s00009-016-0716-6Open DOISearch in Google Scholar
Casabán, M.-C., Cortés, J.-C., Navarro-Quiles, A., Romero, J.-V., Roselló, M.-D., Villanueva, R.-J. (2017). Computing probabilistic solutions of the Bernoulli random differential equation. J. Comput. Appl. Math 309, 396–407. j.cam.2016.02.034CasabánM.-C.CortésJ.-C.Navarro-QuilesA.RomeroJ.-V.RosellóM.-D.VillanuevaR.-J.2017Computing probabilistic solutions of the Bernoulli random differential equation.396407j.cam.2016.02.034Open DOISearch in Google Scholar
Casabán, M.-C., Cortés, J.-C., Navarro-Quiles, A., Romero, J.-V., Roselló, M.-D., Villanueva, R.-J. (2016). A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. Commun. Nonliner. Sci. Numer. Simulat. 32, 199–210. 10.1016/j.cnsns.2015.08.009CasabánM.-C.CortésJ.-C.Navarro-QuilesA.RomeroJ.-V.RosellóM.-D.VillanuevaR.-J.2016A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique.3219921010.1016/j.cnsns.2015.08.009Open DOISearch in Google Scholar
Cortés, J.-C., Navarro-Quiles, A., Romero, J.-V., Roselló, M.-D. (2017). Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems. Appl Math Lett. 68, 150–156. 10.1016/j.aml.2016.12.015CortésJ.-C.Navarro-QuilesA.RomeroJ.-V.RosellóM.-D.2017Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems6815015610.1016/j.aml.2016.12.015Open DOISearch in Google Scholar
Dorini, F.A., Cecconello, M.S., Dorini, M.B. (2016). On the logistic equation subject to uncertainties in the environmental carrying capacity and initial population density. Commun. Nonlinear Sci. Numer. Simul. 33, 160–173. 10.1016/j.cnsns.2015.09.009DoriniF.A.CecconelloM.S.DoriniM.B.2016On the logistic equation subject to uncertainties in the environmental carrying capacity and initial population density3316017310.1016/j.cnsns.2015.09.009Open DOISearch in Google Scholar
Hussein, A., Selim, M.M. (2012). Solution of the stochastic radiative transfer equation with Rayleig scattering using RVT technique. Appl. Math. Comput. 218, no. 13, 7193–7203. 10.1016/j.amc.2011.12.088HusseinA.SelimM.M.2012Solution of the stochastic radiative transfer equation with Rayleig scattering using RVT technique218137193720310.1016/j.amc.2011.12.088Open DOISearch in Google Scholar
Kadry, S. (2007) On the generalization of probabilistic transformation method. Appl. Math. Comput. 190, no 15, 1284–1289. 10.1016/j.amc.2007.02.009KadryS.2007On the generalization of probabilistic transformation method190151284128910.1016/j.amc.2007.02.009Open DOISearch in Google Scholar
Kreyszig, E. (2011). Advanced Engineering Mathematics, Wiley & Sons Boston.KreyszigE.2011Wiley & Sons BostonSearch in Google Scholar
Kwok Sau Fa, Wang K.G. (2012). Integro-differential equation for joint probability density in phase space associated with continuous-time random walk. Physica A. 391, no. 15, 3858–3864. 10.1016/j.physa.2012.03.013Kwok SauFa.WangK.G.2012Integro-differential equation for joint probability density in phase space associated with continuous-time random walk391153858386410.1016/j.physa.2012.03.013Open DOISearch in Google Scholar
Santos, L.T., Dorini, F.A., Cunha, M.C.C. (2010). The probability density function to the random linear transport equation. Appl. Math. Comput. 216, no. 5, 1524–1530. 10.1016/j.amc.2010.03.001SantosL.T.DoriniF.A.CunhaM.C.C.2010The probability density function to the random linear transport equation21651524153010.1016/j.amc.2010.03.001Open DOISearch in Google Scholar
Soong, T.T. (1973). Random Differential Equations in Science and Engineering. Academic Press. New York.SoongT.T.1973Academic PressNew YorkSearch in Google Scholar
El-Tawil, M.A. (2005).The approximate solutions of some stochastic differential equations using transformations. Appl. Math. Comput. 164, 167–178. 10.1016/j.amc.2004.04.062El-TawilM.A2005The approximate solutions of some stochastic differential equations using transformations16416717810.1016/j.amc.2004.04.062Open DOISearch in Google Scholar