Solvability of the boundary value problem for the equation of transition processes in semiconductors with a fractional time derivative
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2017-08-30 15:12
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517.937 (1)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (242)
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GORDIEVSKIKH, Dmitriy. Solvability of the boundary value problem for the equation of transition processes in semiconductors with a fractional time derivative. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 1(83), pp. 51-56. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(83) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

Solvability of the boundary value problem for the equation of transition processes in semiconductors with a fractional time derivative
CZU: 517.937
MSC 2010: 39A45.

Pag. 51-56

Gordievskikh Dmitriy
 
Shadrinsk State Pedagogical University
 
 
Disponibil în IBN: 4 august 2017


Rezumat

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.

Cuvinte-cheie
Transition processes in semiconductors, fractional differential equation, Caputo derivative, degenerate evolution equation,

initial boundary value problem