Geodesic
Solvability of the boundary value problem for the equation of transition processes in semiconductors with a~fractional time derivative
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2017), pp. 51-56

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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. 
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     author = {Dmitriy M. Gordievskikh},
     title = {Solvability of the boundary value problem for the equation of transition processes in semiconductors with a~fractional time derivative},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {51--56},
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     number = {1},
     year = {2017},
     language = {en},
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Dmitriy M. Gordievskikh. Solvability of the boundary value problem for the equation of transition processes in semiconductors with a~fractional time derivative. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2017), pp. 51-56. http://geodesic.mathdoc.fr/item/BASM_2017_1_a4/