Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities

DOI10.1155/2011/510314zbMath1217.45001OpenAlexW2108658604WikidataQ58654256 ScholiaQ58654256MaRDI QIDQ554903

Milan Medved', Mukhtar Bin Muhammad Kirane, Nasser-eddine Tatar

Publication date: 22 July 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/510314

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

Related Items (7)

On the nonexistence of global solutions for a class of fractional integro-differential problems ⋮ Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions ⋮ Existence results for an evolution problem with fractional nonlocal conditions ⋮ Asymptotic behavior of solutions for a class of fractional integro-differential equations ⋮ The existence of mild and classical solutions for a second-order abstract fractional problem ⋮ Sufficient conditions for the exponential stability of nonlinear fractionally perturbed ODEs with multiple time delays ⋮ Non-existence of global solutions for a fractional integro-differential problem with a convolution kernel

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Remarks on the existence results for second-order differential inclusions with nonlocal conditions
• Existence of solutions for second order partial neutral functional differential equations
• Abel integral equations. Analysis and applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Cosine families and abstract nonlinear second order differential equations
• An Abstract Second Order Semilinear Volterra Integrodifferential Equation
• Existence of mild solutions of second order initial value problems for delay integrodifferential inclusions with nonlocal conditions

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