Salehi Shayegan, Amir Hossein; Zakeri, Ali; Salehi Shayegan, Adib Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant. (English) Zbl 07803165 J. Inverse Ill-Posed Probl. 32, No. 1, 107-126 (2024). MSC: 65M32 65M30 65M60 65M06 65N30 65H10 65K10 47A52 35R30 35R25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan} et al., J. Inverse Ill-Posed Probl. 32, No. 1, 107--126 (2024; Zbl 07803165) Full Text: DOI
Nair, M. Thamban; Danumjaya, P. A new regularization for time-fractional backward heat conduction problem. (English) Zbl 07803162 J. Inverse Ill-Posed Probl. 32, No. 1, 41-56 (2024). MSC: 35R30 35R25 35R11 35K05 26A33 33E12 PDFBibTeX XMLCite \textit{M. T. Nair} and \textit{P. Danumjaya}, J. Inverse Ill-Posed Probl. 32, No. 1, 41--56 (2024; Zbl 07803162) Full Text: DOI arXiv
Ruhil, Santosh; Malik, Muslim Inverse problem for the Atangana-Baleanu fractional differential equation. (English) Zbl 1526.34014 J. Inverse Ill-Posed Probl. 31, No. 5, 763-779 (2023). MSC: 34A55 34A08 34G10 26A33 45D05 PDFBibTeX XMLCite \textit{S. Ruhil} and \textit{M. Malik}, J. Inverse Ill-Posed Probl. 31, No. 5, 763--779 (2023; Zbl 1526.34014) Full Text: DOI
Liao, Kaifang; Zhang, Lei; Wei, Ting Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation. (English) Zbl 1527.65086 J. Inverse Ill-Posed Probl. 31, No. 5, 631-652 (2023). MSC: 65M32 65M30 65K10 65J20 33E12 26A33 35R11 35A01 35A02 15A69 74D10 35R30 35R25 35R60 PDFBibTeX XMLCite \textit{K. Liao} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 631--652 (2023; Zbl 1527.65086) Full Text: DOI
Sun, Liangliang; Yan, Xiongbin; Liao, Kaifang Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model. (English) Zbl 1512.65200 J. Inverse Ill-Posed Probl. 30, No. 6, 791-805 (2022). Reviewer: Robert Plato (Siegen) MSC: 65M32 65M30 65J20 65K10 26A33 35R11 35R30 35R25 PDFBibTeX XMLCite \textit{L. Sun} et al., J. Inverse Ill-Posed Probl. 30, No. 6, 791--805 (2022; Zbl 1512.65200) Full Text: DOI
Tuan, Nguyen Huy; Lesnic, Daniel; Thach, Tran Ngoc; Ngoc, Tran Bao Regularization of the backward stochastic heat conduction problem. (English) Zbl 1491.35443 J. Inverse Ill-Posed Probl. 30, No. 3, 351-362 (2022). MSC: 35R25 35K05 26A33 35B65 35R11 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Inverse Ill-Posed Probl. 30, No. 3, 351--362 (2022; Zbl 1491.35443) Full Text: DOI
Yan, Xiong Bin; Wei, Ting Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach. (English) Zbl 1503.65279 J. Inverse Ill-Posed Probl. 27, No. 1, 1-16 (2019). MSC: 65N20 65N21 26A33 35R11 65J20 65K10 PDFBibTeX XMLCite \textit{X. B. Yan} and \textit{T. Wei}, J. Inverse Ill-Posed Probl. 27, No. 1, 1--16 (2019; Zbl 1503.65279) Full Text: DOI
Ageev, Alexandr L.; Antonova, Tatyana V. New methods for the localization of discontinuities of the first kind for functions of bounded variation. (English) Zbl 1276.65010 J. Inverse Ill-Posed Probl. 21, No. 2, 177-191 (2013). MSC: 65D15 26A27 26A45 PDFBibTeX XMLCite \textit{A. L. Ageev} and \textit{T. V. Antonova}, J. Inverse Ill-Posed Probl. 21, No. 2, 177--191 (2013; Zbl 1276.65010) Full Text: DOI
Bondarenko, A. N.; Ivaschenko, D. S. Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient. (English) Zbl 1205.26009 J. Inverse Ill-Posed Probl. 17, No. 5, 419-440 (2009). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 65M12 65M32 PDFBibTeX XMLCite \textit{A. N. Bondarenko} and \textit{D. S. Ivaschenko}, J. Inverse Ill-Posed Probl. 17, No. 5, 419--440 (2009; Zbl 1205.26009) Full Text: DOI
Bondarenko, A. N.; Ivaschenko, D. S. Generalized sommerfeld problem for time fractional diffusion equation: analytical and numerical approach. (English) Zbl 1185.26009 J. Inverse Ill-Posed Probl. 17, No. 4, 321-335 (2009). Reviewer: Rudolf Gorenflo (Berlin) MSC: 26A33 35R11 65C05 35R30 60J60 PDFBibTeX XMLCite \textit{A. N. Bondarenko} and \textit{D. S. Ivaschenko}, J. Inverse Ill-Posed Probl. 17, No. 4, 321--335 (2009; Zbl 1185.26009) Full Text: DOI
Apartsyn, A. S. Unimprovable estimates of solutions for some classes of integral inequalities. (English) Zbl 1167.26006 J. Inverse Ill-Posed Probl. 16, No. 7, 651-680 (2008). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 45D05 45Q05 PDFBibTeX XMLCite \textit{A. S. Apartsyn}, J. Inverse Ill-Posed Probl. 16, No. 7, 651--680 (2008; Zbl 1167.26006) Full Text: DOI