Existence of a periodic mild solution for a nonlinear fractional differential equation

DOI10.1016/j.camwa.2011.12.060zbMath1268.34015OpenAlexW1982059881WikidataQ115359529 ScholiaQ115359529MaRDI QIDQ356298

Mohamed A. E. Herzallah, Dumitru Baleanu

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.060

zbMATH Keywords

boundary value problemfractional derivativefractional nonlinear differential equationsSchaefer fixed point theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Fractional ordinary differential equations (34A08)

Related Items (13)

Existence and multiplicity of solutions for fractional differential equations with parameters ⋮ Decay mild solutions for two-term time fractional differential equations in Banach spaces ⋮ Gauss-Jacobi-type quadrature rules for fractional directional integrals ⋮ Robust asymptotical stability of fractional-order linear systems with structured perturbations ⋮ Mild and strong solutions to few types of fractional order nonlinear equations with periodic boundary conditions ⋮ Solvability of anti-periodic BVPs for impulsive fractional differential systems involving Caputo and Riemann-Liouville fractional derivatives ⋮ Existence and regularity of \(q\)-mild solutions to fractional evolution equations with noncompact semigroups ⋮ Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance ⋮ \(\mu\)-pseudo almost automorph mild solutions to the fractional integro-differential equation with uniform continuity ⋮ On fractional order hybrid differential equations ⋮ Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions ⋮ A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness ⋮ On the multi-index Mittag-Leffler series and their boundary behaviour

Cites Work

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• Asymptotically linear solutions for some linear fractional differential equations
• Analysis of nonlinear fractional control systems in Banach spaces
• Constructive existence and uniqueness for some nonlinear two-point boundary value problems
• An existence result for a superlinear fractional differential equation
• Existence of periodic solution for a nonlinear fractional differential equation
• Fractals and fractional calculus in continuum mechanics

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