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

K. Karthikeyan; Bashir Ahmad

doi:10.2478/auom-2013-0029

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 2 (June 2013)

By: K. Karthikeyan and Bashir Ahmad

Open Access

|Sep 2013

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

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