scholarly journals Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Ankit Kumar ◽  
Kamal Jeet ◽  
Ramesh Kumar Vats
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Nonlocal Condition ◽  
Sobolev Type

scholarly journals An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Asma Bouzaroura ◽  
Saïd Mazouzi
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Nonlocal Condition ◽  
Impulsive Differential Equations ◽  
Fractional Equations ◽  
Contraction Theorem ◽  
Fractional Orders ◽  
Stability Of The Solution

This paper is concerned with the existence, uniqueness, and stability of the solution of some impulsive fractional problem in a Banach space subjected to a nonlocal condition. Meanwhile, we give a new concept of a solution to impulsive fractional equations of multiorders. The derived results are based on Banach's contraction theorem as well as Schaefer's fixed point theorem.

scholarly journals Existence of solutions to Sobolev-type partial neutral differential equations

2006 ◽  
Vol 2006 ◽  
pp. 1-10 ◽  
Author(s):  
Shruti Agarwal ◽  
Dhirendra Bahuguna
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Neutral Differential Equation ◽  
Sobolev Type ◽  
Neutral Differential Equations

This work is concerned with a nonlocal partial neutral differential equation of Sobolev type. Specifically, existence of the solutions to the abstract formulations of such type of problems in a Banach space is established. The results are obtained by using Schauder's fixed point theorem. Finally, an example is provided to illustrate the applications of the abstract results.

Differential equations with causal operators in a Banach space

2005 ◽  
Vol 62 (2) ◽  
pp. 301-313 ◽  
Author(s):  
Z. Drici ◽  
F.A. McRae ◽  
J. Vasundhara Devi
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Causal Operators
Sign in / Sign up

Export Citation Format

Share Document