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作者:Martin P. Arciga-Alejandre , Elena I. Kaikina
来源:[J].Journal of Differential Equations(IF 1.48), 2019, Vol.267 (10), pp.5736-5774
摘要:Abstract(#br)We consider the inhomogeneous mixed initial-boundary value problem for the nonlinear multidimensional Schrödinger equation, formulated on upper right-quarter plane. We study traditionally important problems of the theory of nonlinear partial differential equatio...
作者:... Jorge Sanchez-Ortiz , Martin P. Arciga-Alejandre , Luis X. Vivas-Cruz
来源:[J].Journal of Applied Mathematics(IF 0.834), 2017, Vol.2017
摘要:We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an...
作者:Martin P. Arciga-Alejandre
来源:[J].Electronic Journal of Differential Equations(IF 0.426), 2015, Vol.2015 (281,), pp.1-24
摘要:We consider an initial boundary-value problem for a nonlinear partialdifferential equation with fractional derivative of Riesz type on ahalf-line. We study local and global existence of solutions in time,as well as the asymptotic behavior of solutions for large time.
作者:Martin P. Arciga-Alejandre , Elena I. Kaikina
来源:[J].Electronic Journal of Differential Equations(IF 0.426), 2011, Vol.2011 (149,), pp.1-16
摘要:We consider initial-boundary value problems for the Ott-Sudan-Ostrovskiy equation on a right half-line. We show the the existence of solutions, global in time, and study their asymptotic behavior for large time.
作者:Martin P. Arciga-Alejandre , Luis X. Vivas-Cruz
来源:[J].Journal of Applied Mathematics(IF 0.834), 2017, Vol.2017
摘要:We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an...
作者:Martin P. Arciga-Alejandre , Jorge Sanchez-Ortiz ...
来源:[J].Symmetry, 2019, Vol.11 (11)
摘要:In this work, we propose an efficient multi-stage homotopy perturbation method to find an analytic solution to the fractional Lotka-Volterra model. We obtain its order of accuracy, and we study the stability of the system. Moreover, we present several examples to show of the effe...
作者:... Jorge Sanchez-Ortiz , Martin P. Arciga-Alejandre , Luis X. Vivas-Cruz
来源:[J].Journal of Applied Mathematics(IF 0.834), 2017, Vol.2017
摘要:We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an...
作者:... Francisco J. Ariza-Hernandez , Martin P. Arciga-Alejandre , Eduard A. Garcia-Murcia
来源:[J].Fractional Calculus and Applied Analysis, 2019, Vol.22 (3), pp.795-806
摘要:Abstract In this work, we consider an initial boundary-value problem for a stochastic evolution equation with fractional Laplacian and white noise on the first quadrant. To construct the integral representation of solutions we adapt the main ideas of the Fokas method and by using...
作者:Martin P. Arciga-Alejandre , Jorge Sanchez-Ortiz
来源:[J].Mathematics, 2020, Vol.8 (1)
摘要:In this paper, we consider the inverse problem of derivative order estimation in a fractional logistic model. In order to solve the direct problem, we use the Grünwald-Letnikov fractional derivative, then the inverse problem is tackled within a Bayesian perspective. To const...

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