A NEW CLASS OF MIXED MONOTONE OPERATORS WITH CONCAVITY AND APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS

A NEW CLASS OF MIXED MONOTONE OPERATORS WITH CONCAVITY AND APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS

H. Shojaat, H. Afshari, M. S. Asgari

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Abstract

In this article, we investigate a class of mixed monotone operators with concavity on ordered Banach spaces. As applications, we utilize the main results obtained in this paper to study for solutions of fractional differential equations. An example is also considered to illustrate the main result.

Keywords

Fractional differential equation; normal cone; positive solution.