Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities

Mokhtar Kirane; Milan Medved'; Nasser-eddine Tatar

doi:10.1155/2011/510314

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Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities

Journal article

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Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities

Mokhtar Kirane, Milan Medved' and Nasser-eddine Tatar

Abstract and applied analysis, Vol.2011(2011), pp.1-11

01/01/2011

DOI: https://doi.org/10.1155/2011/510314

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

A second-order semilinear Volterra integrodifferential equation involving fractional time derivatives is considered. We prove existence and uniqueness of mild solutions and classical solutions in appropriate spaces.

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Title: Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities
Creators - without role: Mokhtar Kirane - University of La Rochelle
Milan Medved' - Comenius Univ, Fac Math, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia
Nasser-eddine Tatar - King Fahd University of Petroleum and Minerals
Publication Details: Abstract and applied analysis, Vol.2011(2011), pp.1-11
Publisher: Hindawi Publishing Group
Number of pages: 11
Grant note: IN100007 / King Fahd University of Petroleum and Minerals
Identifiers: 9939653908331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article