EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY-Reference-Cited by-同舟云学术

EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY

Published:2012-04 Issue:04 Volume:22 Page:1250086
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

JIAO FENG¹,ZHOU YONG²

Affiliation:

1. School of Mathematics and Information Sciences, Guangzhou University, Guangdong 510006, P. R. China

2. School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, P. R. China

Abstract

In this paper, by the critical point theory, the boundary value problem is discussed for a fractional differential equation containing the left and right fractional derivative operators, and various criteria on the existence of solutions are obtained. To the authors' knowledge, this is the first time, the existence of solutions to the fractional boundary value problem is dealt with by using critical point theory.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412500861

Reference41 articles.

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2. A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions

3. The Dual Action of Fractional Multi Time Hamilton Equations

4. Boundary value problems for differential equations with fractional order and nonlocal conditions

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