Controllability of Hilfer Fractional Langevin Dynamical System with Impulse in an Abstract Weighted Space

B. Radhakrishnan () and T. Sathya
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B. Radhakrishnan: PSG College of Technology
T. Sathya: PSG College of Technology

Journal of Optimization Theory and Applications, 2022, vol. 195, issue 1, No 11, 265-281

Abstract: Abstract The foremost goal of this paper is to study the sufficient conditions for controllability of Hilfer fractional Langevin dynamical system with impulse. The main results are obtained by using the generalized fractional calculus and fixed point theory. Finally, a pair of examples are equipped to demonstrate the importance of the obtained theoretical result. The homotopy perturbation method (HPM) is successfully used in the numerical example.

Keywords: Controllability; Hilfer fractional derivative; Langevin equation; Impulsive differential equation; Fixed point theorem; 34A08; 34A12; 93B05 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-022-02081-4

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