Fractional integro-differential inclusions with state-dependent delay

• Autorzy: Khalida Aissani , Mouffak Benchohra , Khalil Ezzinbi
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.

Słowa kluczowe

EN

fractional integro-differential inclusions; Caputo fractional derivative; mild solution; multivalued map; Bohnenblust-Karlin's fixed point; state-dependent delay

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 34A08: Fractional differential equations
• 34K37: Functional-differential equations with fractional derivatives
• 34K09: Functional-differential inclusions
• 34G25: Evolution inclusions
• 34A60: Differential inclusions
• 34G20: Nonlinear equations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2014
• Tom: 34
• Numer: 2
• Strony: 153-167

Daty

wydano

2014

otrzymano

2014-03-03

Twórcy

autor

Khalida Aissani

• Laboratory of Mathematics, University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria

autor

Mouffak Benchohra

• Laboratory of Mathematics, University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
• Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

autor

Khalil Ezzinbi

• Departement of Mathematics, Faculté of Sciences, Semlalia, B.P. 2390, Marrakech, Morocco

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Identyfikatory

DOI

10.7151/dmdico1160