Initial value problems for equations with a composition of fractional derivatives

DOI10.47475/2500-0101-2021-16301zbMath1494.34063OpenAlexW3215272671MaRDI QIDQ5068385

Anastasiya Romanovna Volkova, Elizabeta Monirovna Izhberdeeva, Vladimir Evgenyevich Fedorov

Publication date: 6 April 2022

Published in: Челябинский физико-математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj242

zbMATH Keywords

Mittag-Leffler functioninitial value probleminitial boundary value problemRiemann-Liouville fractional derivativeGerasimov-Caputo fractional derivativeDzhrbashyan-Nersesyan fractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Mittag-Leffler functions and generalizations (33E12) Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08)

Related Items

Nonlinear system of impulsive integro-differential equations with Hilfer fractional operator and mixed maxima, Boundary value problems for a first orderpartial differential equation with the Dzhrbashyan - Nersesyan operators, On solvabilityof some classes of equations with Hilfer derivative in Banach spaces, Nonlocal problem for a nonlinear system of fractional order impulsive integro-differential equationswith maxima, The Cauchy Problem for the Delay Differential Equation with Dzhrbashyan – Nersesyan Fractional Derivative

Cites Work

• Unnamed Item
• Fractional diffusion equation with discretely distributed differentiation operator
• The fundamental solution of a diffusion-wave equation of fractional order