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

DOI10.1080/00036811.2021.1967332zbMath1519.34069MaRDI QIDQ6039006

James Larrouy, Gaston Mandata N'Guérékata

Publication date: 3 May 2023

Published in: Applicable Analysis (Search for Journal in Brave)

zbMATH Keywords

mild solutionsfractional differential equationLeray-Schauder alternative theoremArzela-Ascoli theoremSchauder theorem\((\omega, c)\)-periodicasymptotically \((\omega, c)\)-periodic

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (4)

Pseudo \(S\)-asymptotically \((\omega,c)\)-periodic solutions to some evolution equations in Banach spaces ⋮ \((\omega, c)\)-periodic solutions for a class of fractional integrodifferential equations ⋮ Optimal (ω,c)-asymptotically periodic mild solutions to some fractional evolution equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topics in fractional differential equations
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
• The fundamental solutions for the fractional diffusion-wave equation
• FRACTIONAL DIFFUSIVE WAVES
• (ω,c)‐asymptotically periodic functions, first‐order Cauchy problem, and Lasota‐Wazewska model with unbounded oscillating production of red cells
• <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
• (&omega,c)- PSEUDO ALMOST PERIODIC FUNCTIONS, (&omega,c)- PSEUDO ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS

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