Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations
DOI10.1016/j.amc.2011.02.048zbMath1221.34015OpenAlexW1990163961WikidataQ69846097 ScholiaQ69846097MaRDI QIDQ5892568
Publication date: 14 June 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.048
mild solutionfractional differential equationssectorial operatorsalmost automorphic functionscomposition of weighted pseudo almost automorphic functionsweighted pseudo almost automorphic functions
Nonlinear differential equations in abstract spaces (34G20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
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- Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
- Decomposition of weighted pseudo-almost periodic functions
- Existence of the mild solution for some fractional differential equations with nonlocal conditions
- On integral solutions of some nonlocal fractional differential equations with nondense domain
- On the concept of solution for fractional differential equations with uncertainty
- Almost automorphic solutions to a class of semilinear fractional differential equations
- Weighted pseudo almost periodic functions and applications
- Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
- Basic theory of fractional differential equations
- Theory of fractional functional differential equations
- On type of periodicity and ergodicity to a class of fractional order differential equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- A composition theorem for weighted pseudo-almost automorphic functions and applications
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A Cauchy problem for some fractional abstract differential equation with non local conditions
- Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
- Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications
- \(S\)-asymptotically \(\omega \)-periodic solutions of semilinear fractional integro-differential equations
- Weighted pseudo almost automorphic functions and applications to abstract differential equations
- A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
- Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
- Fractals and fractional calculus in continuum mechanics
- The Wright functions as solutions of the time-fractional diffusion equation.
- Fractional differential equations driven by Lévy noise
- On Mittag-Leffler-type functions in fractional evolution processes
- Some probability densities and fundamental solutions of fractional evolution equations
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Pseudo-almost periodic solutions of a class of semilinear fractional differential equations
- Almost automorphic mild solutions to fractional differential equations
- Composition of pseudo almost automorphic and asymptotically almost automorphic functions
- Existence results for fractional order functional differential equations with infinite delay
- Existence and uniqueness of mild solutions to impulsive fractional differential equations
- Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
- The fractional diffusion equation
- Topics in Almost Automorphy
- The random walk's guide to anomalous diffusion: A fractional dynamics approach