Abstract
Abstract In this paper, we investigate the existence of solution for two systems of fractional differential inclusions via some integral boundary value conditions. For this purpose, we use an endpoint result for multifunctions which has been proved in 2010 by Amini-Harandi (Nonlinear Anal. 72:132-134, 2010). Finally, we give an example for illustrating one of our results.
Highlights
Diverse classes of fractional differential equations have been studied by researchers (see for example, [ – ] and the references therein)
As we know, diverse classes of fractional differential equations have been studied by researchers
There have been provided many applications of this field. It is the aim of this paper to investigate the existence of solutions for two systems of fractional differential inclusions, subject to some integral boundary value conditions
Summary
Diverse classes of fractional differential equations have been studied by researchers (see for example, [ – ] and the references therein). It is the aim of this paper to investigate the existence of solutions for two systems of fractional differential inclusions, subject to some integral boundary value conditions. We first investigate the existence of solution for the fractional differential inclusion problem cDαx(t) ∈ F t, x(t), x (t), x (t) , ( )
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