Regularization method for the problem of determining the source function using integral conditions
Abstract
Keywords
Kaynakça
- I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Vol. 198 of Mathematics in Science and Engineering. Academic Press: San Diego, Calif, USA, 1990.
- F. Mainardi, Fractional diffusive waves in viscoelastic solids Nonlinear Waves in Solids, ed J L Wegner and F R Norwood (Fairfield, NJ: ASME/AMR), pp 93--7.
- R.R. Nigmatullin, The realization of the generalized transfer equation in a medium with fractal geometry, Phys. Stat. Sol. B 133 (1986) 425--430.
- R. Metzler, J. Klafter, Boundary value problems for fractional diffusion equations, Phys. A 278 (2000) 107-125.
- T. Wei, Y. Zhang, The backward problem for a time-fractional diffusion- wave equation in a bounded domain, Comput. Math. Appl. 75 (2018), no. 10, 3632--3648.
- T. Wei, J. Xian, Variational method for a backward problem for a time-fractional diffusion equation, ESAIM Math. Model. Numer. Anal. 53 (2019), no. 4, 1223--1244.
- J. Xian, T. Wei, Determination of the initial data in a time-fractional diffusion-wave problem by a final time data, Comput. Math. Appl. 78 (2019), no. 8, 2525--2540.
- T. Wei, J.G. Wang, A modified quasi-boundary value method for the backward time-fractional diffusion problem, ESAIM Math. Model. Numer. Anal. 48 (2014), no. 2, 603--621.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Bui Nghia
0000-0002-9669-120X
Vietnam
Nguyen Luc
0000-0001-9664-6743
Vietnam
Ho Binh
*
0000-0003-1925-4601
Vietnam
Le Dinh Long
0000-0001-8805-4588
Vietnam
Yayımlanma Tarihi
30 Eylül 2021
Gönderilme Tarihi
23 Kasım 2020
Kabul Tarihi
5 Mayıs 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 5 Sayı: 3
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