Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions

Jun Du, Wei Jiang, Denghao Pang and Azmat Ullah Khan Niazi

Complexity, 2018, vol. 2018, 1-13

Abstract:

The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with the generalized M nch fixed point theorem, we derive some sufficient conditions to ensure the controllability for the nonlocal Hilfer fractional differential system. The results are new and generalize the existing results. Finally, we talk about an example to interpret the applications of our abstract results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9472847

DOI: 10.1155/2018/9472847

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