<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence and uniqueness results for the problem are established by means of the Hölder's inequality together with some standard fixed point theorems</p></abstract>

We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence and uniqueness results for the problem are established by means of the Hölder's inequality together with some standard fixed point theorems

Existence results for boundary value problems of arbitrary order integrodifferential equations in Banach spaces

Department of Mathematics, KSR College of Technology Tiruchengode-637 215, Tamilnadu, India

Department of Mathematics, Faculty of Science, King Abdulaziz University P. O. Box 80203, Jeddah 21589, Saudi Arabia

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence...

Existence results for boundary value problems of arbitrary order integrodifferential equations in Banach spaces

Published Online: Sep 19, 2013

Page range: 155 - 171

DOI: https://doi.org/10.2478/auom-2013-0029

Keywords
Fractional order, integrodifferential equations, boundary conditions, existence and uniqueness, Hölder's inequality, Fixed point theorem

This content is open access.

Existence results for boundary value problems of arbitrary order integrodifferential equations in Banach spaces

Published Online: Sep 19, 2013

Page range: 155 - 171

DOI: https://doi.org/10.2478/auom-2013-0029

KeywordsFractional order, integrodifferential equations, boundary conditions, existence and uniqueness, Hölder's inequality, Fixed point theorem

This content is open access.

Keywords
Fractional order, integrodifferential equations, boundary conditions, existence and uniqueness, Hölder's inequality, Fixed point theorem