Fractional integro-differential equations with state-dependent delay on an unbounded domain

zbMath1244.34098MaRDI QIDQ421971

Mouffak Benchohra, Sara Litimein

Publication date: 15 May 2012

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1318535325

zbMATH Keywords

fixed pointmild solutionintegro-differential equationintegral resolvent familypseudo almost automorphic solutionsdiagonalization process

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

About the existence results of fractional neutral integrodifferential inclusions with state-dependent delay in Fréchet spaces ⋮ Controllability of fractional integrodifferential equations with state-dependent delay

Cites Work

• On a class of retarded integro-differential equations with nonlocal initial conditions
• Global uniqueness results for partial functional and neutral functional evolution equations with infinite delay
• \(S\)-asymptotically \(\omega \)-periodic solutions of semilinear fractional integro-differential equations
• Fractional order differential equations on an unbounded domain
• Semigroups of linear operators and applications to partial differential equations
• Functional differential equations with infinite delay
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On perturbation of \(K\)-regularized resolvent families.
• Regularized solutions for abstract Volterra equations
• Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
• Equations with unbounded delay: a survey
• One-Parameter Semigroups for Linear Evolution Equations
• Existence results for semilinear neutral functional differential equations involving evolution operators in Fréchet spaces
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