Analytical investigation of nonlinear hybrid implicit functional differential inclusions of arbitrary fractional orders

2021 ◽  
Vol 116 (1) ◽  
Author(s):  
H. M. Srivastava ◽  
A. M. A. El-Sayed ◽  
H. H. G. Hashem ◽  
Sh. M. Al-Issa
Keyword(s):  
Differential Inclusions ◽  
Analytical Investigation ◽  
Functional Differential ◽  
Functional Differential Inclusions ◽  
Fractional Orders ◽  
Nonlinear Hybrid

scholarly journals GLOBAL EXISTENCE RESULTS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY

2014 ◽  
Vol 19 (4) ◽  
pp. 524-536 ◽  
Author(s):  
Mouffak Benchohra ◽  
Johnny Henderson ◽  
Imene Medjadj
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Global Existence ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Existence Results ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Functional Differential Inclusions

Our aim in this work is to study the existence of solutions of a functional differential inclusion with state-dependent delay. We use the Bohnenblust–Karlin fixed point theorem for the existence of solutions.

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

scholarly journals On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1084 ◽  
Author(s):  
Bashir Ahmad ◽  
Ahmed Alsaedi ◽  
Sotiris K. Ntouyas ◽  
Hamed H. Al-Sulami
Keyword(s):  
Fixed Point ◽  
Differential Inclusions ◽  
Fractional Derivatives ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Multivalued Maps ◽  
Functional Differential ◽  
Functional Differential Inclusions

We prove the existence of solutions for neutral functional differential inclusions involving Hadamard fractional derivatives by applying several fixed point theorems for multivalued maps. We also construct examples for illustrating the obtained results.

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