A class of distributed order semilinear equationsin Banach spaces

DOI10.47475/2500-0101-2020-15308zbMath1470.34158OpenAlexW3091992262MaRDI QIDQ5153868

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Publication date: 1 October 2021

Published in: Chelyabinsk Physical and Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj193

zbMATH Keywords

semilinear equationlocal solutiondistributed order derivativeGerasimov-Caputo fractional derivativeexistence and uniquenes of solution

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) General theory of ordinary differential operators (47E05) Fractional ordinary differential equations (34A08)

Related Items (7)

The defect of a Cauchy type problem for linear equations with several Riemann-Liouville derivatives ⋮ Linear equations with distributed Riemann-Liouville derivatives given by Stieltjes integrals and their analytic resolving families of operators ⋮ Multi-term equations with Riemann-Liouville derivatives and Hölder type function spaces ⋮ Transmutation operators intertwining first-order and distributed-order derivatives ⋮ Initial value problems for some classes of linear evolution equations with several fractional derivatives ⋮ The Cauchy problem for a class of multi-term equations with Gerasimov-Caputo derivatives ⋮ Local unique solvability of a quasilinear equation with the Dzhrbashyan-Nersesyan derivatives

Cites Work

• \(C^m\) approximation of functions by solutions of second-order elliptic systems on compact sets in the plane
• Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I
• Distributed Order Equations in Banach Spaces with Sectorial Operators
• A Class of Initial Value Problems for Distributed Order Equations with a Bounded Operator
• THE CAUCHY PROBLEM FOR DISTRIBUTED ORDER EQUATIONS IN BANACH SPACES
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