<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence and uniqueness results are obtained by using Banach fixed point theorem. Other existence results are also presented by using Krasnoselskii theorem.</p></abstract>

In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence and uniqueness results are obtained by using Banach fixed point theorem. Other existence results are also presented by using Krasnoselskii theorem.

New Existence and Uniqueness Results for Fractional Differential Equations

Department of Mathematics, USTO University of Oran, Oran, Algeria

Faculty of Mathematics, USTHB of Algiers, Algeria

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"New Existence and Uniqueness Results for Fractional Differential Equations"}

In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence...

New Existence and Uniqueness Results for Fractional Differential Equations

Published Online: Mar 05, 2014

Page range: 33 - 42

DOI: https://doi.org/10.2478/auom-2013-0040

Keywords
Boundary value problem, Caputo derivative, Fixed point

This content is open access.

New Existence and Uniqueness Results for Fractional Differential Equations

Published Online: Mar 05, 2014

Page range: 33 - 42

DOI: https://doi.org/10.2478/auom-2013-0040

KeywordsBoundary value problem, Caputo derivative, Fixed point

This content is open access.

Keywords
Boundary value problem, Caputo derivative, Fixed point