Entire and analytical solutions of certain classes of abstract degenerate fractional differential equations and their systems

DOI10.24411/2500-0101-2019-14408zbMath1470.34156arXiv1809.02566MaRDI QIDQ5153844

Marko Kostić

Publication date: 1 October 2021

Full work available at URL: https://arxiv.org/abs/1809.02566

zbMATH Keywords

analytical solutionwell-posednessentire solutionVolterra integro-differential equationfractional differential equationabstract degenerate differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher-order degenerate Cauchy problems in locally convex spaces
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Entire vectors and time reversible Cauchy problems
• The Cauchy problem for higher-order abstract differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence families, functional calculi and evolution equations
• Entire solutions of higher order abstract Cauchy problems
• Abstract Volterra equations in locally convex spaces
• Well-posedness of a boundary value problem for a class of third-order operator-differential equations
• A class of degenerate fractional evolution systems in Banach spaces
• Abstract time-fractional equations: existence and growth of solutions
• The phase spaces of a class of linear higher-order Sobolev type equations
• Linear Sobolev type equations and degenerate semigroups of operators
• Resolving operators of degenerate evolution equations with fractional derivative with respect to time
• Systems of abstract time-fractional equations
• Degenerate k-regularized (C1, C2)-existence and uniqueness families
• Evolutionary Integral Equations and Applications
• Entire Propagator
• On analytic structure of solutions to higher order abstract Cauchy problems
• Degenerate abstract Volterra equations in locally convex spaces
• ON A CLASS OF ABSTRACT DEGENERATE MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX SPACES
• Degenerate fractional differential equations in locally convex spaces with a $\sigma$-regular pair of operators
• Abstract Volterra Integro-Differential Equations
• Degenerate multi-term fractional differential equations in locally convex spaces
• Abstract degenerate Cauchy problems in locally convex spaces

This page was built for publication: Entire and analytical solutions of certain classes of abstract degenerate fractional differential equations and their systems