\((\omega, c)\)-periodic solutions for a class of fractional integrodifferential equations

DOI10.1186/S13661-023-01726-1zbMath1518.35615OpenAlexW4362698556MaRDI QIDQ6161741

No author found.

Publication date: 27 June 2023

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-023-01726-1

zbMATH Keywords

fractional powersfractional integrodifferential equationsnonlocal Cauchy problem\((\omega, c)\)-periodic mild solutions

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
• Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations
• Semigroups of linear operators and applications to partial differential equations
• \((\omega,c)\)-periodic solutions for impulsive differential systems
• On the new concept of solutions and existence results for impulsive fractional evolution equations
• Existence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equations
• \((\omega,c)\)-pseudo periodic functions, first order Cauchy problem and Lasota-Wazewska model with ergodic and unbounded oscillating production of red cells
• \((\omega,\mathbb{T})\)-periodic solutions of impulsive evolution equations
• Pseudo \(S\)-asymptotically Bloch type periodic solutions to fractional integro-differential equations with Stepanov-like force terms
• Piecewise weighted pseudo almost periodicity of impulsive integro-differential equations with fractional order \(1<\alpha<2\)
• Impulsive differential equations involving general conformable fractional derivative in Banach spaces
• Hartman and Nirenberg type results for systems of delay differential equations under \((\omega, Q)\)-periodic conditions
• Affine-periodic solutions for generalized ODEs and other equations
• \((\omega, Q)\)-periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model
• (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
• Mittag-Leffler Functions, Related Topics and Applications
• Generalized $c$-almost periodic type functions in ${\mathbb{R}}^{n}$
• Bloch-Type Periodic Functions
• Pseudo almost periodicity of fractional integro-differential equations with\newline impulsive effects in Banach spaces
• (ω ,c)-periodic solutions for time-varying non-instantaneous impulsive differential systems
• Analytic semigroups and optimal regularity in parabolic problems
• (ω, c)-periodic and asymptotically (ω, c)-periodic mild solutions to fractional Cauchy problems
• Some new asymptotic properties on solutions to fractional evolution equations in Banach spaces

This page was built for publication: \((\omega, c)\)-periodic solutions for a class of fractional integrodifferential equations