LP -solutions for fractional integral equations

Sadia Arshad; Vasile Lupulescu; Donal O'Regan

doi:10.2478/s13540-014-0166-4

L^P -solutions for fractional integral equations

Sadia Arshad, Vasile Lupulescu, Donal O'Regan

Mathematics

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

19 Citations (Scopus)

Abstract

In this article, we examine L ^p -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions. Also other types of existence and uniqueness results are established. At the end, an application is given to illustrate the main result.

Original language	English
Pages (from-to)	259-276
Number of pages	18
Journal	Fractional Calculus and Applied Analysis
Volume	17
Issue number	1
DOIs	https://doi.org/10.2478/s13540-014-0166-4
Publication status	Published - Mar 2014

Keywords

L -solutions
existence and uniqueness results
fractional integral equations
measure of noncompactness

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10.2478/s13540-014-0166-4

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title = "LP -solutions for fractional integral equations",

abstract = "In this article, we examine L p -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions. Also other types of existence and uniqueness results are established. At the end, an application is given to illustrate the main result.",

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author = "Sadia Arshad and Vasile Lupulescu and Donal O'Regan",

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T1 - LP -solutions for fractional integral equations

AU - Arshad, Sadia

AU - Lupulescu, Vasile

AU - O'Regan, Donal

PY - 2014/3

Y1 - 2014/3

N2 - In this article, we examine L p -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions. Also other types of existence and uniqueness results are established. At the end, an application is given to illustrate the main result.

AB - In this article, we examine L p -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions. Also other types of existence and uniqueness results are established. At the end, an application is given to illustrate the main result.

KW - L -solutions

KW - existence and uniqueness results

KW - fractional integral equations

KW - measure of noncompactness

UR - https://www.scopus.com/pages/publications/84891775929

U2 - 10.2478/s13540-014-0166-4

DO - 10.2478/s13540-014-0166-4

M3 - Article

SN - 1311-0454

VL - 17

SP - 259

EP - 276

JO - Fractional Calculus and Applied Analysis

JF - Fractional Calculus and Applied Analysis

IS - 1

ER -

L^P -solutions for fractional integral equations

Abstract

Keywords

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