Semilinear volterra integrodifferential problems with fractional derivatives in the nonlinearities

Nasser Eddine Tatar; Mokhtar Kirane; Milan Medve

doi:10.1155/2011/510314

Semilinear volterra integrodifferential problems with fractional derivatives in the nonlinearities

Nasser Eddine Tatar, Mokhtar Kirane, Milan Medve

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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.

Original language	British English
Article number	510314
Journal	Abstract and Applied Analysis
Volume	2011
DOIs	https://doi.org/10.1155/2011/510314
State	Published - 2011

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title = "Semilinear volterra integrodifferential problems with fractional derivatives in the nonlinearities",

abstract = "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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journal = "Abstract and Applied Analysis",

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AU - Kirane, Mokhtar

AU - Medve, Milan

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VL - 2011

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

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Semilinear volterra integrodifferential problems with fractional derivatives in the nonlinearities

Abstract

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