Fractional differential analog of biparabolic evolution equation and some its applications

DOI10.1007/S10559-016-9875-5zbMath1369.35104OpenAlexW2521106538WikidataQ115384130 ScholiaQ115384130MaRDI QIDQ341371

V. M. Bulavatskij

Publication date: 16 November 2016

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-016-9875-5

zbMATH Keywords

fundamental solutionbiparabolic evolution equationboundary-value problem on a finite intervalfractional-differential analogmathematical modeling of the fractional-differential dynamics of filtration processesnonclassical modelsone-dimensional Cauchy-type problem

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (10)

Identification of the right-hand side in a bi-parabolic equation with final data ⋮ Well-posed results for nonlocal biparabolic equation with linear and nonlinear source terms ⋮ A modified quasi-boundary value method for an abstract ill-posed biparabolic problem ⋮ Some consolidation dynamics problems within the framework of the biparabolic mathematical model and its fractional-differential analog ⋮ Some Boundary-Value Problems of Fractional Differential Filtration Dynamics Regarding the Biparabolic Mathematical Model ⋮ Some nonlocal boundary-value problems for the biparabolic evolution equation and its fractional-differential analog ⋮ On the well-posedness and blow-up for a semilinear biparabolic equation ⋮ Boundary effect in accuracy estimate of the grid method for solving fractional differential equations ⋮ The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation ⋮ On some inverse problem for bi-parabolic equation with observed data in L^{p} spaces

Cites Work

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