scholarly journals Criteria on Existence of Solutions for Fractional Order Impulsive Differential System with Infinite Delay

2016 ◽  
Vol 9 (16) ◽  
Author(s):  
R. P. Pathak ◽  
Piyusha S. Somvanshi
Keyword(s):  
Fractional Order ◽  
Differential System ◽  
Existence Of Solutions ◽  
Infinite Delay ◽  
Impulsive Differential System

scholarly journals Fractional order differential inclusions on an unbounded domain with infinite delay

Mathematica ◽  
2020 ◽  
Vol 62 (85) (2) ◽  
pp. 167-178
Author(s):  
Mohamed Helal
Keyword(s):  
Fractional Order ◽  
Initial Value Problems ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Fréchet Spaces ◽  
Initial Value ◽  
Nonlinear Alternative ◽  
Hyperbolic Differential Inclusions

We provide sufficient conditions for the existence of solutions to initial value problems, for partial hyperbolic differential inclusions of fractional order involving Caputo fractional derivative with infinite delay by applying the nonlinear alternative of Frigon type for multivalued admissible contraction in Frechet spaces.

Semilinear fractional order integro-differential inclusions with infinite delay

2018 ◽  
Vol 25 (3) ◽  
pp. 317-327 ◽  
Author(s):  
Khalida Aissani ◽  
Mouffak Benchohra ◽  
Mohamed Abdalla Darwish
Keyword(s):  
Banach Spaces ◽  
Fractional Order ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Infinite Delay ◽  
Mild Solutions ◽  
Sufficient Conditions ◽  
Multivalued Maps ◽  
Nonlinear Alternative

AbstractIn this paper, we study the existence of mild solutions for a class of semilinear fractional order integro-differential inclusions with infinite delay in Banach spaces. Sufficient conditions for the existence of solutions are derived by using a nonlinear alternative of Leray–Schauder type for multivalued maps due to Martelli. An example is given to illustrate the theory.

scholarly journals Controllability results for fractional order neutral functional differential inclusions with infinite delay

2017 ◽  
Vol 18 (2) ◽  
pp. 773-798 ◽  
Author(s):  
Yong Zhou ◽  
◽  
V. Vijayakumar ◽  
C. Ravichandran ◽  
R. Murugesu ◽  
...  
Keyword(s):  
Fractional Order ◽  
Differential Inclusions ◽  
Infinite Delay ◽  
Functional Differential ◽  
Functional Differential Inclusions
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