A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions

Author:

Ahmad Bashir1,Ntouyas Sotiris K.2

Affiliation:

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

2. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Abstract

We consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained for this class of problems by using standard fixed point theorems. Some illustrative examples are also discussed.

Funder

Deanship of Scientific Research, King Abdulaziz University, Saudi Arabia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Reference18 articles.

1. Mathematics in Science and Engineering,1999

2. Preface

3. Advances in Fractional Calculus

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