descriptionPublicationkeyboard_double_arrow_right Article 04 Nov 2020 English Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,020, pages 1-7 (issn: 1024-123X, eissn: 1563-5147,

Authors: Asmae Tajani; Fatima Zahrae El Alaoui; Ali Boutoulout;

doi: 10.1155/2020/5704251

Regional Controllability of Riemann–Liouville Time-Fractional Semilinear Evolution Equations

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Abstract

In this paper, we discuss the exact regional controllability of fractional evolution equations involving Riemann–Liouville fractional derivative of order q ∈ 0,1 . The result is obtained with the help of the theory of fractional calculus, semigroup theory, and Banach fixed-point theorem under several assumptions on the corresponding linear system and the nonlinear term. Finally, some numerical simulations are given to illustrate the obtained result.

Related Organizations

Universite Moulay Ismail De Meknes
Morocco

Keywords

Controllability, Control/observation systems governed by partial differential equations, Fractional partial differential equations

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