Integrated fractional resolvent operator function and fractional abstract Cauchy problem
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Publication:1724111
DOI10.1155/2014/430418zbMath1469.34081OpenAlexW2080627587WikidataQ59037977 ScholiaQ59037977MaRDI QIDQ1724111
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/430418
Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08)
Related Items (4)
Abstract degenerate Volterra integro-differential equations: inverse generator problem ⋮ A subordination principle on Wright functions and regularized resolvent families ⋮ Uniform stability for fractional Cauchy problems and applications ⋮ Inverses of generators of integrated fractional resolvent operator functions
Cites Work
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- Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
- An operator theoretical approach to a class of fractional order differential equations
- A class of fractional evolution equations and optimal controls
- A novel characteristic of solution operator for the fractional abstract Cauchy problem
- Fractional abstract Cauchy problems
- On fractional powers of generators of fractional resolvent families
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties
- Linear integro-differential equations in Banach spaces
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- \(\alpha\)-times integrated semigroups \((\alpha\in \mathbb{R}^ +)\)
- Regularized solutions for abstract Volterra equations
- On fractional resolvent operator functions
- Fractional sewage treatment models with impulses at variable times
- Stochastic Calculus for Fractional Brownian Motion I. Theory
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