Controllability of Hilfer Fractional Semilinear Integro-Differential Equation of Order α ∊ (0, 1), β ∊ [0, 1]
DOI:
https://doi.org/10.37256/cm.5120242526Keywords:
Hilfer fractional derivative, semigroup theory, exact controllability, fixed point theoremAbstract
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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2024-01-05
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Tripathi V, Das S. Controllability of Hilfer Fractional Semilinear Integro-Differential Equation of Order α ∊ (0, 1), β ∊ [0, 1]. Contemp. Math. [Internet]. 2024 Jan. 5 [cited 2024 May 15];5(1):125-3. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2526
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Copyright (c) 2024 Vidushi Tripathi, et al.
This work is licensed under a Creative Commons Attribution 4.0 International License.