Boundary value problems for fractional differential equation with causal operators-Reference-Cited by-同舟云学术

Boundary value problems for fractional differential equation with causal operators

Published:2016-01-01 Issue:1 Volume:1 Page:11-22
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Jiang Jingfei¹,Cao Dengqing¹,Chen Huatao¹

Affiliation:

1. Division of Dynamics and Control, School of Astronautics , Harbin Institute of Technology , P.O. Box 137 , Harbin , 150001 , China P R

Abstract

Abstract In this paper, we study the two-point boundary value problems for fractional differential equation with causal operator. By lower and upper solution method and the monotone iterative technique, some results for the extremal solution and quasisolutions are obtained. At last, an example is given to demonstrate the validity of assumptions and theoretical results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2016.1.00002

Reference29 articles.

1. A.A. Kilbas, H.M. Srivastava, J.J. Trujillo.(2006), Theory and Applications of Fractional Differential Equations, in: North-Holland Mathematics Studies, vol. 204, Elsevier Science BV, Amsterdam.

2. K.S.Miller, B.Ross.(1993), An Introduction to the Fractional Calculus and Differential Equations, John Wiley, New York.

3. C. Corduneanu.(2002), Functional Equations with Causal Operators, in: Stability and Control: Theory, Methods and Applications, vol. 16, Taylor Francis, London.

4. V. Lakshmikantham, S. Leela, Z. Drici, F.A. McRae.(2010), Theory of Causal Differential Equations, Atlantis Stud. Math. Eng. Sci. vol. 5, World Scientific, Singapore.

5. T. Jankowski.(2008), Boundary value problems with causal operators, Nonlinear Anal.68, 3625-3632. 10.1016/j.na.2007.04.005

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