A new approach on approximate controllability of Sobolev-type Hilfer fractional differential equations
An International Journal of Optimization and Control: Theories & Applications(2023)
摘要
The approximate controllability of Sobolev-type Hilfer fractional control differential systems is the main emphasis of this paper. We use fractional calculus, Gronwall's inequality, semigroup theory, and the Cauchy sequence to examine the main results for the proposed system. The application of well-known fixed point theorem methodologies is avoided in this paper. Finally, a fractional heat equation is discussed as an example.
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关键词
Hilfer fractional system,Sobolev-type differential system,Controllability,Cauchy sequence,Gronwall?s inequality
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