Controllability of Hilfer Fractional Semilinear Integro-Differential Equation of Order α ∊ (0, 1), β ∊ [0, 1]

Authors

Vidushi Tripathi École Centrale School of Engineering, Mahindra University, Hyderabad 500043, India https://orcid.org/0009-0003-9461-5996
Sanjukta Das École Centrale School of Engineering, Mahindra University, Hyderabad 500043, India https://orcid.org/0000-0003-1084-9289

DOI:

https://doi.org/10.37256/cm.5120242526

Keywords:

Hilfer fractional derivative, semigroup theory, exact controllability, fixed point theorem

Abstract

In this paper, Hilfer fractional differential equation is studied. Firstly, we used Laplace transform and semigroup theory to find the mild solution of the system. Then exact controllability of proposed system is established using the Arzela-Ascoli theorem and Schauder fixed point theorem. To illustrate the developed theory we provide an example at the end.

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Published

2024-01-05

Issue

Contemporary Mathematics, Volume 5 Issue 1 (2024), 1-1121

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Controllability of Hilfer Fractional Semilinear Integro-Differential Equation of Order α ∊ (0, 1), β ∊ [0, 1]. Contemp. Math. [Internet]. 2024 Jan. 5 [cited 2025 Dec. 24];5(1):125-3. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2526

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