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Fractional order differential equations on an unbounded domain

Article ID Journal Published Year Pages File Type
842066 Nonlinear Analysis: Theory, Methods & Applications 2010 7 Pages PDF
Abstract

We are concerned with the existence of bounded solutions of a boundary value problem on an unbounded domain for differential equations involving the Caputo fractional derivative. Our results are based on a fixed point theorem of Schauder combined with the diagonalization method.

Keywords
26A3334B15Boundary value problem26A42Infinite intervalsCaputo fractional derivativeFractional differential equationFixed pointsExistence
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Fractional order differential equations on an unbounded domain
Authors
A. Arara, M. Benchohra, N. Hamidi, J.J. Nieto,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
26A33
34B15Boundary value problem
26A42
Infinite intervals
Caputo fractional derivative
Fractional differential equation
Fixed points
Existence
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