In this paper, we first prove some coupled fixed point theorems in partially ordered Φ-orbitally complete normed linear spaces. And then apply the obtained fixed point theorems to a class of semilinear evolution systems of fractional order for proving the existence of coupled mild solutions under some weaker monotone conditions. An example is given to illustrate the application of the abstract results. © 2017, The Author(s).

Hemant Kumar Nashine

Department of Mathematics

School of Advanced Sciences

Vellore Campus

H. Yang

R.P. Agarwal

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

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Advances in Difference Equations

Coupled fixed point theorems with applications to fractional evolution equations

Journal	Data powered by TypesetAdvances in Difference Equations
Publisher	Data powered by TypesetSpringer International Publishing
ISSN	16871839