Uniqueness and Stability Results for Non-local Impulsive Implicit Hadamard Fractional Differential Equations

DOI10.5890/JAND.2020.03.002zbMath1441.34010MaRDI QIDQ5121758

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Publication date: 19 September 2020

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

nonlocal conditionsimpulsive conditionfixed point methodsHadamard derivativeimplicit FDE's

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Fractional ordinary differential equations (34A08)

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Cites Work

• A uniform method to Ulam-Hyers stability for some linear fractional equations
• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• Topics in fractional differential equations
• Ulam's type stability of impulsive ordinary differential equations
• An existence theorem for implicit differential equations in a Banach space
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Implicit fractional differential equations via the Liouville-Caputo derivative
• Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative
• Basic Theory of Fractional Differential Equations
• Ulam stabilities for partial Hadamard fractional integral equations
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