Unique mild solution for Caputo's fractional perturbed evolution equations with state-dependent delay

DOI10.3934/eect.2023041zbMath1530.34065MaRDI QIDQ6192571

Unnamed Author, Mouffak Benchohra, Selma Baghli-Bendimerad

Publication date: 13 February 2024

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

zbMATH Keywords

uniquenessfixed pointexistence of solutionsemigroup theorystate-dependent delayneutral problemsCaputo's fractional derivativenonlinear alternativeperturbed evolution equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Neutral functional-differential equations (34K40) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Functional-differential equations with fractional derivatives (34K37)

Cites Work

• Global uniqueness results for partial functional and neutral functional evolution equations with infinite delay
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• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
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• Existence, uniqueness and stability of fractional impulsive functional differential inclusions
• A Cauchy problem for fractional evolution equations with Hilfer's fractional derivative on semi-infinite interval
• Hölder regularity for non-autonomous fractional evolution equations
• EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
• Multivalued evolution equations with infinite delay in Fréchet spaces
• Existence results for semilinear neutral functional differential equations involving evolution operators in Fréchet spaces
• Neutral multivalued integro-differential evolution equations with infinite state-dependent delay
• Mild solutions for perturbed evolution equations with infinite state-dependent delay
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