Nonlocal nonlinear integrodifferential equations of fractional orders

DOI10.1186/1687-2770-2012-78zbMath1277.35337OpenAlexW2115752984WikidataQ59292024 ScholiaQ59292024MaRDI QIDQ377681

Dumitru Baleanu, Amar Debbouche, Ravi P. Agarwal

Publication date: 7 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-78

zbMATH Keywords

Schauder's fixed point theoremnonlocal conditionfractional evolution equationuniformly continuous semigroup

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) General theory of functional-differential equations (34K05) Fractional partial differential equations (35R11)

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Cites Work

• A class of fractional evolution equations and optimal controls
• Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
• Nonlocal Cauchy problem for fractional evolution equations
• On the concept of solution for fractional differential equations with uncertainty
• On a boundary controller of fractional type
• On the global existence of solutions to a class of fractional differential equations
• Existence results for fractional order semilinear functional differential equations with nondense domain
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Semigroups and some nonlinear fractional differential equations.
• Existence of solutions to nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces
• Some probability densities and fundamental solutions of fractional evolution equations
• Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems

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