Oscillation and nonoscillation for Caputo-Hadamard impulsive fractional differential inclusions

DOI10.1186/S13662-019-2026-3zbMath1458.34133OpenAlexW2946845692WikidataQ128383186 ScholiaQ128383186MaRDI QIDQ667973

Yong Zhou, Samira Hamani, Mouffak Benchohra

Publication date: 4 March 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2026-3

zbMATH Keywords

oscillationfixed pointupper and lower solutionsnonoscillationimpulsive fractional differential inclusionsCaputo-Hadamard fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

Existence of positive solutions for weighted fractional order differential equations ⋮ Stability results of positive solutions for a system of \(\psi \) -Hilfer fractional differential equations ⋮ Oscillation and nonoscillation results for the Caputo fractional \(q\)-difference equations and inclusions ⋮ Philos-type oscillation criteria for impulsive fractional differential equations ⋮ OSCILLATION BEHAVIOR OF SOLUTION OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION

Cites Work

• Caputo-type modification of the Hadamard fractional derivatives
• Topics in fractional differential equations
• Oscillation and nonoscillation in nonlinear impulsive systems with increasing energy
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• Analysis of an El Nino-Southern Oscillation model with a new fractional derivative
• A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
• Attractivity for fractional differential equations in Banach space
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