Existence results for sequential fractional integro-differential equations with impulsive conditions

In this paper, we investigate the existence and uniqueness results for sequential fractional integro-differential equations with impulsive conditions. The nonlinear term contains the integral terms which are used to represent in the thermal conductivity of the material problems. Our methods are base...

Full description

Saved in:
Bibliographic Details
Published in:International journal of dynamics and control 2024, Vol.12 (1), p.227-236
Main Authors: Karthikeyan, P., Poornima, S.
Format: Article
Language:English
Subjects:
Complexity
Control
Control and Systems Theory
Differential equations
Dynamical Systems
Engineering
Existence theorems
Fixed points (mathematics)
Mathematical analysis
Thermal conductivity
Vibration
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we investigate the existence and uniqueness results for sequential fractional integro-differential equations with impulsive conditions. The nonlinear term contains the integral terms which are used to represent in the thermal conductivity of the material problems. Our methods are based on the fixed point theorems such as Banach fixed point theorem and Krasnoselskii’s. We obtain the sufficient conditions of the existence of solutions. Examples are given to illustrate the results.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-023-01240-3