Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation

2006 ◽  
Vol 65 (10) ◽  
pp. 1858-1890 ◽  
Author(s):  
Shiwang Ma ◽  
Peixuan Weng ◽  
Xingfu Zou
Keyword(s):  
Differential Equation ◽  
Asymptotic Speed ◽  
Non Local ◽  
Speed Of Propagation ◽  
Lattice Differential Equation

scholarly journals Trajectory Controllability of the Systems Governed by Hilfer Fractional Systems

YMER Digital ◽  
2021 ◽  
Vol 20 (11) ◽  
pp. 37-46
Author(s):  
Vishant Shah ◽  
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Nonlinear System ◽  
Differential Equations ◽  
Operator Semigroup ◽  
Local Conditions ◽  
Fractional Systems ◽  
Integro Differential Equation ◽  
Gronwall’S Inequality ◽  
Non Local

In this manuscript, we consider a nonlinear system governed by Hilfer fractional integro-differential equations in a Banach space. Using the concept of operator semigroup and Gronwall’s inequality, we have established the trajectory controllability of the integro-differential equation with local and non-local conditions. Finally, we have given an example to illustrate the application of the derived results

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