Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators

DOI10.1016/j.camwa.2011.05.001zbMath1228.34013OpenAlexW2082919370MaRDI QIDQ651624

S. Kiruthika, Krishnan Balachandran

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.05.001

zbMATH Keywords

integro-differential equationfractional calculusnonlocal conditionCaputo derivativeresolvent operators

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) General theory of functional-differential equations (34K05) Fractional ordinary differential equations (34A08)

Related Items (16)

Solutions to Riemann-Liouville fractional integrodifferential equations via fractional resolvents ⋮ Existence Results for Fractional Integrodifferential Equations of Sobolev Type with Deviating Arguments ⋮ Relative controllability of fractional dynamical systems with multiple delays in control ⋮ Relative controllability of fractional dynamical systems with distributed delays in control ⋮ Existence of solutions of abstract fractional integrodifferential equations of Sobolev type ⋮ On the existence of solutions of fractional integro-differential equations ⋮ The solvability and optimal controls for impulsive fractional stochastic integro-differential equations via resolvent operators ⋮ Existence of solution for delay fractional differential equations ⋮ Existence Results of Fractional Neutral Integrodifferential Equations with Deviating Arguments ⋮ Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions ⋮ Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Mild solutions of non-autonomous second order problems with nonlocal initial conditions ⋮ On fractional differential equations with state-dependent delay via Kuratowski measure of noncompactness ⋮ On Representation of Solutions of Abstract Fractional Differential Equations

Cites Work

• On recent developments in the theory of abstract differential equations with fractional derivatives
• On fractional powers of generators of fractional resolvent families
• Existence results for fractional impulsive integrodifferential equations in Banach spaces
• Fractional differential equations as alternative models to nonlinear differential equations
• Mathematical modeling of time fractional reaction-diffusion systems
• The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
• Fractional models, non-locality, and complex systems
• Existence of solutions of abstract fractional impulsive semilinear evolution equations
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators