distributed delays
Recently Published Documents


TOTAL DOCUMENTS

1107
(FIVE YEARS 174)

H-INDEX

64
(FIVE YEARS 9)

Pramana ◽  
2022 ◽  
Vol 96 (1) ◽  
Author(s):  
I M Elbaz ◽  
M A Sohaly ◽  
H El-Metwally
Keyword(s):  

2021 ◽  
Vol 5 (4) ◽  
pp. 222
Author(s):  
Hristo Kiskinov ◽  
Ekaterina Madamlieva ◽  
Magdalena Veselinova ◽  
Andrey Zahariev

In the present paper, first we obtain sufficient conditions for the existence and uniqueness of the solution of the Cauchy problem for an inhomogeneous neutral linear fractional differential system with distributed delays (even in the neutral part) and Caputo type derivatives, in the case of initial functions with first kind discontinuities. This result allows to prove that the corresponding homogeneous system possesses a fundamental matrix C(t,s) continuous in t,t∈[a,∞),a∈R. As an application, integral representations of the solutions of the Cauchy problem for the considered inhomogeneous systems are obtained.


Sign in / Sign up

Export Citation Format

Share Document