On fractional asymptotical regularization of linear ill-posed problems in hilbert spaces
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[1] M. Hanke. Conjugate gradient type methods for ill-posed problems , 1995 .
[2] Rongfang Gong,et al. A new class of accelerated regularization methods, with application to bioluminescence tomography , 2019, Inverse Problems.
[3] Thorsten Hohage,et al. Regularization of exponentially ill-posed problems , 2000 .
[4] Bernd Hofmann,et al. Analysis of Profile Functions for General Linear Regularization Methods , 2007, SIAM J. Numer. Anal..
[5] Masahiro Yamamoto,et al. Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations , 2014 .
[6] Thomas Simon,et al. Comparing Fréchet and positive stable laws , 2013, 1310.1888.
[7] O. Scherzer,et al. Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces , 2015, Numerical functional analysis and optimization.
[8] Changpin Li,et al. On the fractional Adams method , 2009, Comput. Math. Appl..
[9] Masahiro Yamamoto,et al. On existence and uniqueness of solutions for semilinear fractional wave equations , 2015, 1510.03478.
[10] L. Delves,et al. Computational methods for integral equations: Integral equations of the first kind , 1985 .
[11] I. Podlubny. Fractional differential equations , 1998 .
[12] A. Rieder. Runge–Kutta integrators yield optimal regularization schemes , 2005 .
[13] Ye Zhang,et al. On the second-order asymptotical regularization of linear ill-posed inverse problems , 2018, Applicable Analysis.
[14] Francesco Mainardi,et al. On Mittag-Leffler-type functions in fractional evolution processes , 2000 .
[15] K. Diethelm. Mittag-Leffler Functions , 2010 .
[16] William Rundell,et al. Strong maximum principle for fractional diffusion equations and an application to an inverse source problem , 2015, 1507.00845.
[17] Alan D. Freed,et al. Detailed Error Analysis for a Fractional Adams Method , 2004, Numerical Algorithms.
[18] U. Tautenhahn. On the asymptotical regularization of nonlinear ill-posed problems , 1994 .
[19] K. Diethelm,et al. The Fracpece Subroutine for the Numerical Solution of Differential Equations of Fractional Order , 2002 .
[20] H. Engl,et al. Regularization of Inverse Problems , 1996 .
[21] P. Hansen. Discrete Inverse Problems: Insight and Algorithms , 2010 .
[22] Jens Flemming,et al. Sharp converse results for the regularization error using distance functions , 2011 .
[23] Andreas Neubauer,et al. On Nesterov acceleration for Landweber iteration of linear ill-posed problems , 2016 .
[24] Yuri Luchko,et al. General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems , 2016 .
[25] C. W. Groetsch,et al. Integral equations of the first kind, inverse problems and regularization: a crash course , 2007 .
[26] Andreas Neubauer,et al. Preconditioning Landweber iteration in Hilbert scales , 2005, Numerische Mathematik.
[27] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[28] A V Bitsadze. Integral Equations of First Kind , 1995 .
[29] R. Gorenflo,et al. Mittag-Leffler Functions, Related Topics and Applications , 2014, Springer Monographs in Mathematics.
[30] P. Mathé,et al. Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803 , 2003 .
[31] J. Lions,et al. Non-homogeneous boundary value problems and applications , 1972 .