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Abstract The article considers the controllability of a fractional order diffusion equation. We show that the resulting fractional order diffusion equation is null-controllable. Our method reduces essentially to the study… Click to show full abstract
Abstract The article considers the controllability of a fractional order diffusion equation. We show that the resulting fractional order diffusion equation is null-controllable. Our method reduces essentially to the study of a moment problem related to the Mittag-Leffler functions. Paley-Wiener type theorems are applied to construct biorthogonal sequence to a family of complex Mittag-Leffler functions.
Keywords:
diffusion equation;
order diffusion;
fractional order
Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2017
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Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!