Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations
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[1] V. E. Tarasov. Fractional integro-differential equations for electromagnetic waves in dielectric media , 2009, 1107.5892.
[2] Esmail Babolian,et al. Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method , 2017, J. Comput. Appl. Math..
[3] M. R. Hooshmandasl,et al. Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations , 2016 .
[4] Xuerong Mao,et al. The truncated Euler-Maruyama method for stochastic differential equations , 2015, J. Comput. Appl. Math..
[5] Farshid Mirzaee,et al. Application of orthonormal Bernstein polynomials to construct a efficient scheme for solving fractional stochastic integro-differential equation , 2017 .
[6] KEVIN G. TEBEEST. Classroom Note: Numerical and Analytical Solutions of Volterra's Population Model , 1997, SIAM Rev..
[7] Mohammad Heydari,et al. An iterative technique for the numerical solution of nonlinear stochastic Itô -Volterra integral equations , 2018, J. Comput. Appl. Math..
[8] J. Trujillo,et al. On the existence of solutions of fractional integro-differential equations , 2011 .
[9] M. Asgari,et al. Block pulse approximation of fractional stochastic integro-differential equation , 2014 .
[10] Chris P. Tsokos,et al. On the Existence, Uniqueness, and Stability Behavior of a Random Solution to a Nonlinear Perturbed Stochastic Integro-Differential Equation , 1975, Inf. Control..
[11] Andrew M. Stuart,et al. Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations , 2002, SIAM J. Numer. Anal..
[12] G. S. Ladde,et al. Stochastic fractional differential equations: Modeling, method and analysis , 2012 .
[13] J. Zabczyk,et al. Stochastic Equations in Infinite Dimensions , 2008 .
[14] Farshid Mirzaee,et al. Euler polynomial solutions of nonlinear stochastic Itô-Volterra integral equations , 2018, J. Comput. Appl. Math..
[15] Minoo Kamrani. Convergence of Galerkin method for the solution of stochastic fractional integro differential equations , 2016 .
[16] R. Cont,et al. Financial Modelling with Jump Processes , 2003 .
[17] Ji Li,et al. Carathéodory approximations and stability of solutions to non-Lipschitz stochastic fractional differential equations of Itô-Doob type , 2018, Appl. Math. Comput..
[18] Khosrow Maleknejad,et al. Numerical solution of stochastic Volterra integral equations by a stochastic operational matrix based on block pulse functions , 2012, Math. Comput. Model..
[19] Farshid Mirzaee,et al. On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions , 2019, Engineering Analysis with Boundary Elements.
[20] Carlo Cattani,et al. An efficient computational method for solving nonlinear stochastic Itô integral equations: Application for stochastic problems in physics , 2015, J. Comput. Phys..
[21] Ichiro Ito. On the existence and uniqueness of solutions of stochastic integral equations of the Volterra type , 1979 .
[22] Khosrow Maleknejad,et al. Numerical solution of a stochastic population growth model in a closed system , 2013 .
[23] F. M. Scudo,et al. Vito Volterra and theoretical ecology. , 1971, Theoretical population biology.
[24] Hang Xu,et al. Analytical approximations for a population growth model with fractional order , 2009 .
[25] E. Renshaw,et al. STOCHASTIC DIFFERENTIAL EQUATIONS , 1974 .
[26] X. Mao,et al. Stochastic Differential Equations and Applications , 1998 .
[27] Xuerong Mao,et al. Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations , 2016, J. Comput. Appl. Math..
[28] V. Lakshmikantham,et al. Theory of Integro-Differential Equations , 1995 .
[29] Dung Nguyen Tien. Fractional stochastic differential equations with applications to finance , 2013 .
[30] Hui Liang,et al. Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations , 2017, J. Comput. Appl. Math..
[31] F. Mohammadi. Efficient Galerkin solution of stochastic fractional differential equations using second kind Chebyshev wavelets , 2017 .
[32] M. Maleki,et al. Numerical approximations for Volterra’s population growth model with fractional order via a multi-domain pseudospectral method , 2015 .
[33] I. Podlubny. Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .