scholarly journals Nonlocal conditions for differential inclusions in the space of functions of bounded variations

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
Ravi Agarwal ◽  
Abdelkader Boucherif
Keyword(s):  
Differential Inclusions ◽  
Nonlocal Conditions ◽  
Functions Of Bounded Variations

scholarly journals Solvability of control problem for fractional nonlinear differential inclusions with nonlocal conditions

2019 ◽  
Vol 24 (4) ◽  
Author(s):  
Alka Chadha ◽  
Rathinasamy Sakthivel ◽  
Swaroop Nandan Bora
Keyword(s):  
Differential Inclusions ◽  
Approximate Controllability ◽  
Measure Of Noncompactness ◽  
Nonlocal Conditions ◽  
Sufficient Conditions ◽  
Fractional Differential Inclusions ◽  
Multivalued Maps ◽  
Nonlinear Differential Inclusions ◽  
Approximately Controllable ◽  
Fractional Differential

In this paper, we study the approximate controllability of nonlocal fractional differential inclusions involving the Caputo fractional derivative of order q ∈ (1,2) in a Hilbert space. Utilizing measure of noncompactness and multivalued fixed point strategy, a new set of sufficient conditions is obtained to ensure the approximate controllability of nonlocal fractional differential inclusions when the multivalued maps are convex. Precisely, the results are developed under the assumption that the corresponding linear system is approximately controllable.  

scholarly journals On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions

2016 ◽  
Vol 09 (06) ◽  
pp. 4235-4246 ◽  
Author(s):  
Bashir Ahmad ◽  
Sotiris K. Ntouyas ◽  
Jessada Tariboon
Keyword(s):  
Differential Inclusions ◽  
Nonlocal Conditions
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