Trajectory Controllability of the Systems Governed by Hilfer Fractional Systems | Zendy

Vishant Shah | Zendy

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Trajectory Controllability of the Systems Governed by Hilfer Fractional Systems

Author(s) -

Vishant Shah

Publication year - 2021

Publication title -

ymer digital

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.103

H-Index - 5

ISSN - 0044-0477

DOI - 10.37896/ymer20.11/5

Subject(s) - controllability , mathematics , banach space , trajectory , semigroup , nonlinear system , gronwall's inequality , operator (biology) , partial differential equation , mathematical analysis , inequality , biochemistry , chemistry , physics , repressor , quantum mechanics , astronomy , transcription factor , gene

In this manuscript, we consider a nonlinear system governed by Hilfer fractional integro-differential equations in a Banach space. Using the concept of operator semigroup and Gronwall’s inequality, we have established the trajectory controllability of the integro-differential equation with local and non-local conditions. Finally, we have given an example to illustrate the application of the derived results

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