On the boundedness of nonoscillatory solutions of certain fractional differential equations with positive and negative terms

DOI10.1016/J.AML.2019.05.032zbMath1425.34012OpenAlexW2945158693WikidataQ127823828 ScholiaQ127823828MaRDI QIDQ2274910

Said R. Grace, Ercan Tunç, John R. Graef

Publication date: 1 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.05.032

zbMATH Keywords

integro-differential equationsboundednessfractional differential equationsnonoscillatory solutionsCaputo derivative

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Fractional ordinary differential equations (34A08)

Related Items (7)

Nonoscillatory solutions of higher-order fractional differential equations ⋮ Almost oscillatory fractional differential equations ⋮ Oscillation of higher order fractional differential equations ⋮ Bounded non-oscillatory solutions of nabla forced fractional difference equations with positive and negative terms ⋮ On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations with positive and negative terms ⋮ Nonoscillatory solutions of discrete fractional order equations with positive and negative terms ⋮ On a singular Riemann–Liouville fractional boundary value problem with parameters

Cites Work

• Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Oscillatory behavior of integro-dynamic and integral equations on time scales
• Power-type estimates for a nonlinear fractional differential equation
• On the oscillation of fractional differential equations
• Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations
• Oscillation of integro-dynamic equations on time scales
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