Cauchy problems of fractional order and stable processes

1990 ◽  
Vol 7 (3) ◽  
pp. 459-476 ◽  
Author(s):  
Yasuhiro Fujita
Keyword(s):  
Fractional Order ◽  
Stable Processes ◽  
Cauchy Problems

Fractional order automatic tuning of PIλD controller for stable processes

2020 ◽  
Vol 99 ◽  
pp. 351-360 ◽  
Author(s):  
Rishika Trivedi ◽  
Prabin Kumar Padhy
Keyword(s):  
Fractional Order ◽  
Automatic Tuning ◽  
Stable Processes

Nonlocal Cauchy problems for fractional order nonlinear differential systems

Open Physics ◽  
2013 ◽  
Vol 11 (10) ◽  
Author(s):  
JinRong Wang ◽  
Xuezhu Li ◽  
Yong Zhou
Keyword(s):  
Fixed Point ◽  
Fractional Order ◽  
Fixed Point Theorems ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Cauchy Problems ◽  
Differential Systems ◽  
Zero Matrix ◽  
Vector Norm ◽  
Nonlinear Differential Systems

AbstractIn this paper, we discuss nonlocal Cauchy problems for fractional order nonlinear differential systems. Firstly, an important matrix associated with fractional order and two functionals are constructed. Further, some sufficient conditions which guarantee such matrix convergent to zero matrix are presented. Secondly, by using three fixed point theorems via the techniques that use convergent to zero matrix and vector norm, some existence results for the solutions of such fractional order nonlinear differential systems are given under different conditions. Finally, some examples are given to illustrate the results.

Stability in a Discrete Fractional Order Prey Predator System with Functional Response

2017 ◽  
Vol 7 (5) ◽  
pp. 630-633 ◽  
Author(s):  
A. George Maria Selvam ◽  
◽  
R. Janagaraj ◽  
Britto Jacob. S ◽  
◽  
...  
Keyword(s):  
Functional Response ◽  
Fractional Order ◽  
Predator System
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