Field study of dispersion in a heterogeneous aquifer: 2. Spatial moments analysis, Water Resources Research, vol.22, issue.13, pp.3293-3307, 1992. ,
DOI : 10.1029/WR022i013p02069
Solution for a fractional diffusion-wave equation defined in a bounded domain, Nonlinear Dynamics, vol.29, issue.1/4, pp.145-155, 2002. ,
DOI : 10.1023/A:1016539022492
A Parabolic Problem with a Fractional Time Derivative, Archive for Rational Mechanics and Analysis, vol.371, issue.6, pp.603-630, 2016. ,
DOI : 10.1007/s00205-016-0969-z
URL : http://arxiv.org/abs/1501.07211
Regularity and uniqueness of solution to linear diffusion equation with multiple time-fractional derivatives, International Series of Numerical Mathematics, vol.164, pp.45-55, 2013. ,
Theory and simulation of time-fractional fluid diffusion in porous media, Journal of Physics A: Mathematical and Theoretical, vol.46, issue.34, p.345501, 2013. ,
DOI : 10.1088/1751-8113/46/34/345501
Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation, Inverse Problems, vol.25, issue.11, p.115002, 2009. ,
DOI : 10.1088/0266-5611/25/11/115002
Carleman estimate for a fractional diffusion equation with half order and application, Appl. Anal, vol.90, pp.1355-1371, 2011. ,
Abstract Volterra integrodifferential equations with applications to parabolic models with memory, Mathematische Annalen, vol.17, issue.7 ,
DOI : 10.1007/s00208-015-1356-z
Determination of time dependent factors of coefficients in fractional diffusion equations, Mathematical Control and Related Fields, vol.6, issue.2, pp.251-269, 2016. ,
DOI : 10.3934/mcrf.2016003
URL : https://hal.archives-ouvertes.fr/hal-01101556
Elliptic problems in nonsmooth domains, 1985. ,
DOI : 10.1137/1.9781611972030
Abstract, Fractional Calculus and Applied Analysis, vol.18, issue.3, pp.799-820, 2015. ,
DOI : 10.1515/fca-2015-0048
Fractional diffusion Processes: Probability Distributions and Continuous Time Random Walk, Processes with long range correlations, pp.148-166, 2003. ,
DOI : 10.1007/3-540-44832-2_8
URL : http://arxiv.org/abs/0709.3990
Determination of order in fractional diffusion equation, J. Math-for-Ind, pp.5-51, 2013. ,
Inverse Boundary Value Problem for Schr??dinger Equation in Two Dimensions, SIAM Journal on Mathematical Analysis, vol.44, issue.3, pp.1333-1339, 2012. ,
DOI : 10.1137/11083736X
URL : http://arxiv.org/abs/1105.2850
Uniqueness for Inverse Boundary Value Problems by Dirichlet-to-Neumann Map on Subboundaries, Milan Journal of Mathematics, vol.135, issue.2, pp.187-258, 2013. ,
DOI : 10.1007/s00032-013-0205-3
URL : http://arxiv.org/abs/1303.2159
Perturbation theory for linear operators Decay estimates for timefractional and other non-local in time subdiffusion equations in R d, Math. Ann, vol.3, pp.366-941, 1980. ,
The Calder??n problem with partial data, Annals of Mathematics, vol.165, issue.2, pp.567-591, 2007. ,
DOI : 10.4007/annals.2007.165.567
Global uniqueness in an inverse problem for time-fractional diffusion equations, preprint ,
Abstract, Fractional Calculus and Applied Analysis, vol.20, issue.1, pp.117-138, 2017. ,
DOI : 10.1515/fca-2017-0006
Theory and applications of fractional differential equations, 2006. ,
Uniqueness in inverse boundary value problems for fractional diffusion equations, Inverse Problems, vol.32, issue.1, p.15004, 2016. ,
DOI : 10.1088/0266-5611/32/1/015004
URL : http://arxiv.org/abs/1404.7024
Initial-boundary value problem for distributed order timefractional diffusion equations ,
Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients, Applied Mathematics and Computation, vol.257, pp.381-397, 2015. ,
DOI : 10.1016/j.amc.2014.11.073
URL : http://arxiv.org/abs/1312.2112
Asymptotic estimates of solutions to initial-boundaryvalue problems for distributed order time-fractional diffusion equations, Fractional Calculus and Applied Analysis, vol.17, pp.1114-1136, 2014. ,
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation, Proceedings of 3rd IFAC Workshop on Fractional Differentiation and its Applications (FDA08), pp.5-07, 2008. ,
DOI : 10.1016/j.jmaa.2010.08.048
An Introduction to the fractional calculus and fractional differential equations, 1993. ,
Fractional differential equations, 1999. ,
Methods of modern mathematical physics II : Fourier analysis, selfadjointness, 1975. ,
Real and complex analysis, 1987. ,
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems, Journal of Mathematical Analysis and Applications, vol.382, issue.1, pp.426-447, 2011. ,
DOI : 10.1016/j.jmaa.2011.04.058
Variable-order fractional differential operators in anomalous diffusion modeling, Physica A: Statistical Mechanics and its Applications, vol.388, issue.21, pp.4586-4592, 2009. ,
DOI : 10.1016/j.physa.2009.07.024
Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate, Inverse Problems, vol.28, issue.10, p.105010, 2010. ,
DOI : 10.1088/0266-5611/28/10/105010
Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces, Funkcialaj Ekvacioj, vol.52, issue.1, pp.1-18, 2009. ,
DOI : 10.1619/fesi.52.1
A De Giorgi???Nash type theorem for time fractional diffusion equations, Mathematische Annalen, vol.52, issue.1, pp.99-146, 2013. ,
DOI : 10.1007/s00208-012-0834-9