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Contemporary Mathematics. Fundamental Directions, 2010, Volume 35, Pages 5–21
(Mi cmfd141)
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This article is cited in 2 scientific papers (total in 2 papers)
On perturbations of abstract fractional differential equations by nonlinear operators
H. K. Avad, A. V. Glushak Belgorod State University
Abstract:
We prove the unique solvability of a Cauchy-type problem for an abstract parabolic equation containing fractional derivatives and a nonlinear perturbation term. The result is applied to establish the solvability of the inverse coefficient problem for a fractional-order equation.
Citation:
H. K. Avad, A. V. Glushak, “On perturbations of abstract fractional differential equations by nonlinear operators”, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 1, CMFD, 35, PFUR, M., 2010, 5–21; Journal of Mathematical Sciences, 170:3 (2010), 306–323
Linking options:
https://www.mathnet.ru/eng/cmfd141 https://www.mathnet.ru/eng/cmfd/v35/p5
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Statistics & downloads: |
Abstract page: | 448 | Full-text PDF : | 130 | References: | 72 |
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