Affiliation:
1. Department of Mathematics , Northwest Normal University , Lanzhou 730070 , People’s Republic of China
Abstract
Abstract
In this paper, we are concerned with the periodic boundary value problem of fractional differential equations on ordered Banach spaces. By introducing a concept of upper and lower solutions, we construct a new monotone iterative technique for the periodic boundary value problems of fractional differential equation, and obtain the existence of solutions between lower and upper solutions.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference30 articles.
1. R. L. Magin, Fractional calculus in bioengineering, Crit. Rev. Biomed. Eng. 32 (2004), 1–104.10.1615/CritRevBiomedEng.v32.10
2. B. M. Vinagre, I. Podlubny, A. Hernández, V. Feliu, Some approximations of fractional order operators used in control theory and applications, Fract. Calc. Appl. Anal. 3 (2000), 231–248.
3. K. B. Oldham, Fractional differential equations in electrochemistry, Adv. Eng. Softw. 41 (2010), 9–12.
4. R. Metzler, J. Klafter, Boundary value problems for fractional diffusion equations, Phys. A. 278 (2000), 107–125.
5. P. Chen, X. Zhang, Y. Li, Approximation technique for fractional evolution equations with nonlocal integral conditions, Mediterr. J. Math. 14 (2017), Art. 226, 1–16.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献