A new regularization for time-fractional backward heat conduction problem

DOI10.1515/jiip-2023-0043arXiv2303.15455OpenAlexW4382021451MaRDI QIDQ6192051

P. Danumjaya, M. Thamban Nair

Publication date: 12 February 2024

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.15455

zbMATH Keywords

regularizationill-posed problemsbackward heat conduction problemsource condition

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11)

Cites Work

• On the degree of ill-posedness for linear problems with noncompact operators
• Mittag-Leffler functions and their applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On a final value problem for the time-fractional diffusion equation with inhomogeneous source
• Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem
• Stability results for backward time-fractional parabolic equations
• A backward problem for the time-fractional diffusion equation
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