Solutions to fractional differential equations with nonlocal initial condition in Banach spaces

DOI10.1155/2010/340349zbMath1196.34009OpenAlexW2148273799WikidataQ59250200 ScholiaQ59250200MaRDI QIDQ963104

Jin Liang, Zhi-Wei Lv, Ti-Jun Xiao

Publication date: 8 April 2010

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

Full work available at URL: https://eudml.org/doc/230428

zbMATH Keywords

Banach spacesfractional differential equationsCaputo derivativeexistence and uniqueness theory

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Related Items (13)

Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay ⋮ Existence of positive solutions for \(p\)-Laplacian impulsive boundary value problems on time scales ⋮ A nonlocal Cauchy problem for fractional integrodifferential equations ⋮ On nonlinear neutral fractional integrodifferential inclusions with infinite delay ⋮ Existence results for fractional order impulsive functional differential equations with multiple delays ⋮ Nonlocal initial boundary value problem for a fractional integrodifferential equation in a Banach space ⋮ Positive solution for the nonlinear Hadamard type fractional differential equation with \(p\)-Laplacian ⋮ Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order ⋮ Existence results for \(m\)-point boundary value problems of nonlinear fractional differential equations with \(p\)-Laplacian operator ⋮ On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation ⋮ New results for generalized Gronwall inequalities and their applications ⋮ Positive solutions of \(m\)-point boundary value problems for fractional differential equations ⋮ On new existence results for fractional integro-differential equations with impulsive and integral conditions

Cites Work

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• Existence of the mild solution for some fractional differential equations with nonlocal conditions
• Nagumo-type uniqueness result for fractional differential equations
• Theory of fractional functional differential equations
• Fractional functional differential inclusions with finite delay
• A Cauchy problem for abstract fractional differential equations with infinite delay
• Darboux problem for perturbed partial differential equations of fractional order with finite delay

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