Optimal (ω,c)-asymptotically periodic mild solutions to some fractional evolution equations (Q6196491)

scientific article; zbMATH DE number 7818961

Language	Label	Description	Also known as
English	Optimal (ω,c)-asymptotically periodic mild solutions to some fractional evolution equations	scientific article; zbMATH DE number 7818961

Statements

instance of

scholarly article

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title

Optimal (ω,c)-asymptotically periodic mild solutions to some fractional evolution equations (English)

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author

Romario Gildas Foko Tiomela

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Gaston Mandata N'Guérékata

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Gisèle M. Mophou

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published in

Fractional Differential Calculus

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publication date

14 March 2024

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zbMATH Keywords

\((\omega,c)\)-asymptotically periodic function

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reflexive Banach space

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uniformly convex Banach space

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fractional evolution equations

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MaRDI profile type

MaRDI publication profile

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cites work

\((\omega,c)\)-pseudo periodic functions, first order Cauchy problem and Lasota-Wazewska model with ergodic and unbounded oscillating production of red cells

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(ω,c)‐asymptotically periodic functions, first‐order Cauchy problem, and Lasota‐Wazewska model with unbounded oscillating production of red cells

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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>ω</mml:mi> <mml:mo>,</mml:mo> <mml:mi>c</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:math>-periodic functions and mild solutions to abstract fractional integro-differential equations

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Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces

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Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations

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Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay

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On the stability and stabilization of some semilinear fractional differential equations in Banach spaces

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Selected topics in almost periodicity

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(ω, c)-periodic and asymptotically (ω, c)-periodic mild solutions to fractional Cauchy problems

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\((\omega,c)\)-periodic solutions for impulsive differential systems

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A new class of \((\omega,c)\)-periodic non-instantaneous impulsive differential equations

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Mild solutions for abstract fractional differential equations

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On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)

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Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations

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Q3630759

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Existence of the mild solution for some fractional differential equations with nonlocal conditions

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Asymptotic behavior of mild solutions of some fractional functional integro-differential equations

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Q2782981

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Almost Periodic and Almost Automorphic Functions in Abstract Spaces

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On weak-almost periodic mild solutions of some linear abstract differential equations

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Topics in Almost Automorphy

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Abstract fractional Cauchy problems with almost sectorial operators

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\((\omega ,c)\)-periodic solutions for time varying impulsive differential equations

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Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative

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Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative

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Q4841649

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Identifiers

DOI

10.7153/fdc-2023-13-01

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6196491