Geodesic
Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2019), pp. 3-12

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The paper is devoted to local and nonlocal boundary-value problems for loaded differential equation with variable coefficients with Gerasimov–Kaputo fractional derivative. To solve the considered problems we obtain apriori estimates in differential and difference interpretations, from which it follows the uniqueness and stability of solution with respect to initial data and right-hand side, as well as convergence of solution to difference problem to a solution to differential problems.
Keywords: boundary-value problems, apriori estimate, loaded equations, differential equation of fractional order, Gerasimov–Kaputo fractional derivative.
Mots-clés : equation of pseudoparabolic type 
@article{IVM_2019_2_a0,
     author = {M. Kh. Beshtokov},
     title = {Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--12},
     publisher = {mathdoc},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_2_a0/}
}
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M. Kh. Beshtokov. Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2019), pp. 3-12. http://geodesic.mathdoc.fr/item/IVM_2019_2_a0/