Compositions of fractional derivatives as Dzhrbashyan-Nersesyan derivative

DOI10.47475/2500-0101-2024-9-1-35-49MaRDI QIDQ6497127

Elizaveta Monirovna Izhberdeeva

Publication date: 6 May 2024

Published in: Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

initial value problemRiemann-Liouville fractional derivativeGerasimov-Caputo fractional derivativelinear inhomogeneous equationDzhrbashyan-Nersesyan fractional derivative

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional partial differential equations (35R11)

Cites Work

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• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Local unique solvability of a quasilinear equation with the Dzhrbashyan-Nersesyan derivatives
• Fractional diffusion equation with discretely distributed differentiation operator
• Vector-valued Laplace Transforms and Cauchy Problems
• The fundamental solution of a diffusion-wave equation of fractional order
• Initial value problems for equations with a composition of fractional derivatives

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