An existence result for neutral delay integrodifferential equations with fractional order and nonlocal conditions

DOI10.1155/2011/952782zbMath1269.45006OpenAlexW2124109330WikidataQ58654563 ScholiaQ58654563MaRDI QIDQ657181

Fang Li, Gaston Mandata N'Guérékata

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/952782

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Solutions to fractional neutral delay differential nonlocal systems ⋮ Existence of a mild solution for a neutral stochastic fractional integro-differential inclusion with a nonlocal condition ⋮ Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces ⋮ Existence of the mild solution for impulsive neutral stochastic fractional integro-differential inclusions with nonlocal conditions ⋮ Stability for a class of differential equations with nonconstant delay ⋮ Initial value problem for fractional evolution equations ⋮ Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type ⋮ Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces ⋮ Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions ⋮ Initial value problem of fractional integro-differential equations in Banach space ⋮ Results on neutral differential equation of Sobolev type with nonlocal conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces
• Solvability of nonautonomous fractional integrodifferential equations with infinite delay
• Existence of the mild solution for some fractional differential equations with nonlocal conditions
• Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay
• A note on a semilinear fractional differential equation of neutral type with infinite delay
• Existence results for fractional order semilinear integro-differential evolution equations with infinite delay
• Existence of classical solutions to nonautonomous nonlocal parabolic problems
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Semigroups of linear operators and applications to partial differential equations
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Semigroups and some nonlinear fractional differential equations.
• Some probability densities and fundamental solutions of fractional evolution equations
• Semilinear integrodifferential equations with nonlocal initial conditions
• Time dependent Desch-Schappacher type perturbations of Volterra integral equations
• Nonlocal Cauchy problems governed by compact operator families
• Solvability of the Cauchy problem for infinite delay equations
• Nonlocal impulsive problems for nonlinear differential equations in Banach spaces
• Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays
• An existence result for fractional differential equations of neutral type with infinite delay
• Fractional diffusion: probability distributions and random walk models