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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 1, Pages 51–56
(Mi basm442)
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Solvability of the boundary value problem for the equation of transition processes in semiconductors with a fractional time derivative
Dmitriy M. Gordievskikh Shadrinsk State Pedagogical University, K. Liebknecht Str., 3, Shadrinsk, Kurgan region, Russia
Abstract:
Necessary and sufficient conditions are established for the unique solvability of the initial boundary value problem for the equation describing the transition processes in semiconductors. The method of studying is the reducing to the Cauchy problem for a degenerate evolution equation of fractional order in a Banach space. Using the functional calculus in the Banach algebra of bounded linear operators a form of the considered problem solution is performed.
Keywords and phrases:
transition processes in semiconductors, fractional differential equation, caputo derivative, degenerate evolution equation, initial boundary value problem.
Received: 01.09.2016
Citation:
Dmitriy M. Gordievskikh, “Solvability of the boundary value problem for the equation of transition processes in semiconductors with a fractional time derivative”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 1, 51–56
Linking options:
https://www.mathnet.ru/eng/basm442 https://www.mathnet.ru/eng/basm/y2017/i1/p51
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Abstract page: | 132 | Full-text PDF : | 26 | References: | 31 |
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