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

^*Corresponding author for this work

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

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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.",

author = "Tatar, \{Nasser Eddine\} and Mokhtar Kirane and Milan Medve",

year = "2011",

doi = "10.1155/2011/510314",

language = "English",

volume = "2011",

journal = "Abstract and Applied Analysis",

issn = "1085-3375",

publisher = "John Wiley and Sons Ltd",

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T1 - Semilinear volterra integrodifferential problems with fractional derivatives in the nonlinearities

AU - Tatar, Nasser Eddine

AU - Kirane, Mokhtar

AU - Medve, Milan

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/80052649259

U2 - 10.1155/2011/510314

DO - 10.1155/2011/510314

M3 - Article

AN - SCOPUS:80052649259

SN - 1085-3375

VL - 2011

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 510314

ER -

Semilinear volterra integrodifferential problems with fractional derivatives in the nonlinearities

Abstract

ASJC Scopus subject areas

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