Semilinear fractional order integro-differential inclusions with infinite delay

DOI10.1515/GMJ-2016-0063zbMath1403.34054OpenAlexW2576811691MaRDI QIDQ1789408

Khalida Aissani, Mouffak Benchohra, Mohamed Abdalla Darwish

Publication date: 10 October 2018

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0063

zbMATH Keywords

fixed pointsemigroupBanach spacemild solutionCaputo fractional derivativemultivalued mapsemilinear differential inclusions

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09) Integro-ordinary differential equations (45J99)

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Cites Work

• Topics in fractional differential equations
• Some boundary value problems of fractional differential equations and inclusions
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multivalued fractional differential equations
• Existence results for fractional differential inclusions with multivalued term depending on lower-order derivative
• Existence results for fractional semilinear differential inclusions in Banach spaces
• A note on the existence of solutions for some boundary value problems of fractional differential inclusions
• Basic Theory of Fractional Differential Equations
• On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
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