Andrii Hulianytskyi, Sergei Pereverzyev, Sergii Siryk, Nataliya Vasylyeva: Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation https://arxiv.org/abs/2511.05277 https://arxiv.org/pdf/2511.05277 https://arxiv.org/html/2511.05277
November 10, 2025 at 6:36 AM
Andrii Hulianytskyi, Sergei Pereverzyev, Sergii Siryk, Nataliya Vasylyeva: Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation https://arxiv.org/abs/2511.05277 https://arxiv.org/pdf/2511.05277 https://arxiv.org/html/2511.05277
Ravshan Ashurov, Elbek Husanov: Inverse problem of determining a time-dependent coefficient in the time-fractional subdiffusion equation https://arxiv.org/abs/2511.05011 https://arxiv.org/pdf/2511.05011 https://arxiv.org/html/2511.05011
November 10, 2025 at 6:36 AM
Ravshan Ashurov, Elbek Husanov: Inverse problem of determining a time-dependent coefficient in the time-fractional subdiffusion equation https://arxiv.org/abs/2511.05011 https://arxiv.org/pdf/2511.05011 https://arxiv.org/html/2511.05011
📃Scientific paper: Numerical Reconstruction and Analysis of Backward Semilinear
Subdiffusion Problems
Ref.: arXiv, 2025
➡️ Continued on ES/IODE
Subdiffusion Problems
Ref.: arXiv, 2025
➡️ Continued on ES/IODE
October 27, 2025 at 6:00 AM
📃Scientific paper: Numerical Reconstruction and Analysis of Backward Semilinear
Subdiffusion Problems
Ref.: arXiv, 2025
➡️ Continued on ES/IODE
Subdiffusion Problems
Ref.: arXiv, 2025
➡️ Continued on ES/IODE
Katarzyna Ryszewska, Rico Zacher: On the Harnack inequality for time-fractional and more general non-local in time subdiffusion equations https://arxiv.org/abs/2510.17992 https://arxiv.org/pdf/2510.17992 https://arxiv.org/html/2510.17992
October 22, 2025 at 6:36 AM
Katarzyna Ryszewska, Rico Zacher: On the Harnack inequality for time-fractional and more general non-local in time subdiffusion equations https://arxiv.org/abs/2510.17992 https://arxiv.org/pdf/2510.17992 https://arxiv.org/html/2510.17992
Josefa Caballero, {\L}ukasz P{\l}ociniczak, Kishin Sadarangani: Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver https://arxiv.org/abs/2510.11023 https://arxiv.org/pdf/2510.11023 https://arxiv.org/html/2510.11023
October 14, 2025 at 6:39 AM
Josefa Caballero, {\L}ukasz P{\l}ociniczak, Kishin Sadarangani: Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver https://arxiv.org/abs/2510.11023 https://arxiv.org/pdf/2510.11023 https://arxiv.org/html/2510.11023
Josefa Caballero, {\L}ukasz P{\l}ociniczak, Kishin Sadarangani
Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver
https://arxiv.org/abs/2510.11023
Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver
https://arxiv.org/abs/2510.11023
October 14, 2025 at 5:38 AM
Josefa Caballero, {\L}ukasz P{\l}ociniczak, Kishin Sadarangani
Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver
https://arxiv.org/abs/2510.11023
Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver
https://arxiv.org/abs/2510.11023
Researchers recover the potential in subdiffusion from terminal observations; the simple algorithm converges linearly with FEM and a quasi‑boundary method. https://getnews.me/new-method-reconstructs-potentials-and-initial-state-in-subdiffusion/ #subdiffusion #inverseproblem
September 22, 2025 at 9:59 AM
Researchers recover the potential in subdiffusion from terminal observations; the simple algorithm converges linearly with FEM and a quasi‑boundary method. https://getnews.me/new-method-reconstructs-potentials-and-initial-state-in-subdiffusion/ #subdiffusion #inverseproblem
Xu Wu, Jiang Yang, Zhi Zhou: Numerical Analysis of Simultaneous Reconstruction of Initial Condition and Potential in Subdiffusion https://arxiv.org/abs/2509.15633 https://arxiv.org/pdf/2509.15633 https://arxiv.org/html/2509.15633
September 22, 2025 at 6:39 AM
Xu Wu, Jiang Yang, Zhi Zhou: Numerical Analysis of Simultaneous Reconstruction of Initial Condition and Potential in Subdiffusion https://arxiv.org/abs/2509.15633 https://arxiv.org/pdf/2509.15633 https://arxiv.org/html/2509.15633
Xu Wu, Jiang Yang, Zhi Zhou
Numerical Analysis of Simultaneous Reconstruction of Initial Condition and Potential in Subdiffusion
https://arxiv.org/abs/2509.15633
Numerical Analysis of Simultaneous Reconstruction of Initial Condition and Potential in Subdiffusion
https://arxiv.org/abs/2509.15633
September 22, 2025 at 5:37 AM
Xu Wu, Jiang Yang, Zhi Zhou
Numerical Analysis of Simultaneous Reconstruction of Initial Condition and Potential in Subdiffusion
https://arxiv.org/abs/2509.15633
Numerical Analysis of Simultaneous Reconstruction of Initial Condition and Potential in Subdiffusion
https://arxiv.org/abs/2509.15633
A discrete finite element scheme solves subdiffusion with constant delay and a Riemann‑Liouville fractional derivative, providing unconditional stability on graded meshes (r=1 uniform). https://getnews.me/finite-element-method-for-delayed-subdiffusion-fractional-derivative/ #fem #subdiffusion
September 18, 2025 at 2:54 PM
A discrete finite element scheme solves subdiffusion with constant delay and a Riemann‑Liouville fractional derivative, providing unconditional stability on graded meshes (r=1 uniform). https://getnews.me/finite-element-method-for-delayed-subdiffusion-fractional-derivative/ #fem #subdiffusion
Weiping Bu, Chen Nie, Weizhi Liao: Finite element method for a constant time delay subdiffusion equation with Riemann-Liouville fractional derivative https://arxiv.org/abs/2509.13052 https://arxiv.org/pdf/2509.13052 https://arxiv.org/html/2509.13052
September 17, 2025 at 6:39 AM
Weiping Bu, Chen Nie, Weizhi Liao: Finite element method for a constant time delay subdiffusion equation with Riemann-Liouville fractional derivative https://arxiv.org/abs/2509.13052 https://arxiv.org/pdf/2509.13052 https://arxiv.org/html/2509.13052
Weiping Bu, Chen Nie, Weizhi Liao
Finite element method for a constant time delay subdiffusion equation with Riemann-Liouville fractional derivative
https://arxiv.org/abs/2509.13052
Finite element method for a constant time delay subdiffusion equation with Riemann-Liouville fractional derivative
https://arxiv.org/abs/2509.13052
September 17, 2025 at 5:38 AM
Weiping Bu, Chen Nie, Weizhi Liao
Finite element method for a constant time delay subdiffusion equation with Riemann-Liouville fractional derivative
https://arxiv.org/abs/2509.13052
Finite element method for a constant time delay subdiffusion equation with Riemann-Liouville fractional derivative
https://arxiv.org/abs/2509.13052
Arl\'ucio Viana, Patryk Wolejko, Rico Zacher: Duality estimates for subdiffusion problems including time-fractional porous medium type equations https://arxiv.org/abs/2509.07862 https://arxiv.org/pdf/2509.07862 https://arxiv.org/html/2509.07862
September 10, 2025 at 6:37 AM
Arl\'ucio Viana, Patryk Wolejko, Rico Zacher: Duality estimates for subdiffusion problems including time-fractional porous medium type equations https://arxiv.org/abs/2509.07862 https://arxiv.org/pdf/2509.07862 https://arxiv.org/html/2509.07862
Simone Creo, Maria Rosaria Lancia, Andrea Mola, Gianluca Mola, Silvia Romanelli: Identification problems for anisotropic time-fractional subdiffusion equations https://arxiv.org/abs/2507.10315 https://arxiv.org/pdf/2507.10315 https://arxiv.org/html/2507.10315
July 15, 2025 at 6:37 AM
Simone Creo, Maria Rosaria Lancia, Andrea Mola, Gianluca Mola, Silvia Romanelli: Identification problems for anisotropic time-fractional subdiffusion equations https://arxiv.org/abs/2507.10315 https://arxiv.org/pdf/2507.10315 https://arxiv.org/html/2507.10315
Jiho Hong, Bangti Jin, Yavar Kian: Unique and Stable Recovery of Space-Variable Order in Multidimensional Subdiffusion https://arxiv.org/abs/2507.06524 https://arxiv.org/pdf/2507.06524 https://arxiv.org/html/2507.06524
July 10, 2025 at 6:36 AM
Jiho Hong, Bangti Jin, Yavar Kian: Unique and Stable Recovery of Space-Variable Order in Multidimensional Subdiffusion https://arxiv.org/abs/2507.06524 https://arxiv.org/pdf/2507.06524 https://arxiv.org/html/2507.06524
Ravshan Ashurov, Rajapboy Saparboyev, Navbahor Nuraliyeva: A Nonlinear Nonlocal Problem for the Caputo Fractional Subdiffusion Equation https://arxiv.org/abs/2506.19516 https://arxiv.org/pdf/2506.19516 https://arxiv.org/html/2506.19516
June 25, 2025 at 6:34 AM
Ravshan Ashurov, Rajapboy Saparboyev, Navbahor Nuraliyeva: A Nonlinear Nonlocal Problem for the Caputo Fractional Subdiffusion Equation https://arxiv.org/abs/2506.19516 https://arxiv.org/pdf/2506.19516 https://arxiv.org/html/2506.19516
Maolin Deng, Ali Feizmohammadi, Bangti Jin, Yavar Kian: Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement https://arxiv.org/abs/2506.17648 https://arxiv.org/pdf/2506.17648 https://arxiv.org/html/2506.17648
June 24, 2025 at 6:59 AM
Maolin Deng, Ali Feizmohammadi, Bangti Jin, Yavar Kian: Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement https://arxiv.org/abs/2506.17648 https://arxiv.org/pdf/2506.17648 https://arxiv.org/html/2506.17648
Nathaniel G. Hermann, Dmitry A. Markov, M. Shane Hutson: Anomalous diffusion for mass transport phenomena II: Subdiffusion in polydimethylsiloxane (PDMS) https://arxiv.org/abs/2506.14600 https://arxiv.org/pdf/2506.14600 https://arxiv.org/html/2506.14600
June 18, 2025 at 7:08 AM
Nathaniel G. Hermann, Dmitry A. Markov, M. Shane Hutson: Anomalous diffusion for mass transport phenomena II: Subdiffusion in polydimethylsiloxane (PDMS) https://arxiv.org/abs/2506.14600 https://arxiv.org/pdf/2506.14600 https://arxiv.org/html/2506.14600
Anomalous diffusion for mass transport phenomena II: Subdiffusion in polydimethylsiloxane (PDMS)
https://arxiv.org/pdf/2506.14600
Nathaniel G. Hermann, Dmitry A. Markov, M. Shane Hutson.
https://arxiv.org/pdf/2506.14600
Nathaniel G. Hermann, Dmitry A. Markov, M. Shane Hutson.
https://arxiv.org/abs/2506.14600
arXiv abstract link
arxiv.org
June 18, 2025 at 4:32 AM
Anomalous diffusion for mass transport phenomena II: Subdiffusion in polydimethylsiloxane (PDMS)
https://arxiv.org/pdf/2506.14600
Nathaniel G. Hermann, Dmitry A. Markov, M. Shane Hutson.
https://arxiv.org/pdf/2506.14600
Nathaniel G. Hermann, Dmitry A. Markov, M. Shane Hutson.
Natalia Kopteva, Sean Kelly: Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes https://arxiv.org/abs/2506.12954 https://arxiv.org/pdf/2506.12954 https://arxiv.org/html/2506.12954
June 17, 2025 at 9:14 AM
Natalia Kopteva, Sean Kelly: Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes https://arxiv.org/abs/2506.12954 https://arxiv.org/pdf/2506.12954 https://arxiv.org/html/2506.12954
Natalia Kopteva, Sean Kelly
Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes
https://arxiv.org/abs/2506.12954
Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes
https://arxiv.org/abs/2506.12954
June 17, 2025 at 6:06 AM
Natalia Kopteva, Sean Kelly
Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes
https://arxiv.org/abs/2506.12954
Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes
https://arxiv.org/abs/2506.12954
for systems governed by multi-exponential memory kernels. We identify persistence and relaxation timescales that delineate dynamical regimes in which subdiffusion arises from either memory or energy barrier effects. By comparing analytical predictions [4/6 of https://arxiv.org/abs/2506.03036v1]
June 4, 2025 at 6:10 AM
for systems governed by multi-exponential memory kernels. We identify persistence and relaxation timescales that delineate dynamical regimes in which subdiffusion arises from either memory or energy barrier effects. By comparing analytical predictions [4/6 of https://arxiv.org/abs/2506.03036v1]
behavior. Focusing on the mean squared displacement (MSD), we develop an analytical framework that connects subdiffusion to multiscale memory effects in the generalized Langevin equation (GLE), and derive the subdiffusive scaling behavior of the MSD [3/6 of https://arxiv.org/abs/2506.03036v1]
June 4, 2025 at 6:10 AM
behavior. Focusing on the mean squared displacement (MSD), we develop an analytical framework that connects subdiffusion to multiscale memory effects in the generalized Langevin equation (GLE), and derive the subdiffusive scaling behavior of the MSD [3/6 of https://arxiv.org/abs/2506.03036v1]
arXiv:2506.03036v1 Announce Type: new
Abstract: Subdiffusion is a hallmark of complex systems, ranging from protein folding to transport in viscoelastic media. However, despite its pervasiveness, the mechanistic origins of subdiffusion remain [1/6 of https://arxiv.org/abs/2506.03036v1]
Abstract: Subdiffusion is a hallmark of complex systems, ranging from protein folding to transport in viscoelastic media. However, despite its pervasiveness, the mechanistic origins of subdiffusion remain [1/6 of https://arxiv.org/abs/2506.03036v1]
June 4, 2025 at 6:09 AM
arXiv:2506.03036v1 Announce Type: new
Abstract: Subdiffusion is a hallmark of complex systems, ranging from protein folding to transport in viscoelastic media. However, despite its pervasiveness, the mechanistic origins of subdiffusion remain [1/6 of https://arxiv.org/abs/2506.03036v1]
Abstract: Subdiffusion is a hallmark of complex systems, ranging from protein folding to transport in viscoelastic media. However, despite its pervasiveness, the mechanistic origins of subdiffusion remain [1/6 of https://arxiv.org/abs/2506.03036v1]
Anton Klimek, Benjamin A. Dalton, Roland R. Netz: Subdiffusion from competition between multi-exponential friction memory and energy barriers https://arxiv.org/abs/2506.03036 https://arxiv.org/pdf/2506.03036 https://arxiv.org/html/2506.03036
June 4, 2025 at 6:09 AM
Anton Klimek, Benjamin A. Dalton, Roland R. Netz: Subdiffusion from competition between multi-exponential friction memory and energy barriers https://arxiv.org/abs/2506.03036 https://arxiv.org/pdf/2506.03036 https://arxiv.org/html/2506.03036