Existence results for random fractional differential equations

Vasile Lupulescu; Donal O'Regan; Ghaus Ur Rahman

doi:10.7494/OpMath.2014.34.4.813

Existence results for random fractional differential equations

Vasile Lupulescu, Donal O'Regan, Ghaus Ur Rahman

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

28 Citations (Scopus)

Abstract

In this paper, an existence result for a random fractional differential equation is established under a Carathéodory condition. Existence results for extremal random solutions are also proved. Finally, an existence and uniqueness result is given.

Original language	English
Pages (from-to)	813-825
Number of pages	13
Journal	Opuscula Mathematica
Volume	34
Issue number	4
DOIs	https://doi.org/10.7494/OpMath.2014.34.4.813
Publication status	Published - 2014

Keywords

Caputo fractional derivative
Existence
Fractional integral
Random fractional differential equations

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10.7494/OpMath.2014.34.4.813

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title = "Existence results for random fractional differential equations",

abstract = "In this paper, an existence result for a random fractional differential equation is established under a Carath{\'e}odory condition. Existence results for extremal random solutions are also proved. Finally, an existence and uniqueness result is given.",

keywords = "Caputo fractional derivative, Existence, Fractional integral, Random fractional differential equations",

author = "Vasile Lupulescu and Donal O'Regan and Rahman, \{Ghaus Ur\}",

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AU - Lupulescu, Vasile

AU - O'Regan, Donal

AU - Rahman, Ghaus Ur

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AB - In this paper, an existence result for a random fractional differential equation is established under a Carathéodory condition. Existence results for extremal random solutions are also proved. Finally, an existence and uniqueness result is given.

KW - Caputo fractional derivative

KW - Existence

KW - Fractional integral

KW - Random fractional differential equations

UR - https://www.scopus.com/pages/publications/84910658799

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DO - 10.7494/OpMath.2014.34.4.813

M3 - Article

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VL - 34

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JO - Opuscula Mathematica

JF - Opuscula Mathematica

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Existence results for random fractional differential equations

Abstract

Keywords

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