Open AccessStudy of multi term delay fractional order impulsive differential equation using fixed point approach
Author(s) -
Amjad Ali,
Kamal Shah,
Dildar Ahmad,
Ghaus ur Rahman,
Nabil Mlaiki,
Thabet Abdeljawad
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022644
Subject(s) - uniqueness , mathematics , fixed point theorem , stability (learning theory) , term (time) , nonlinear system , fixed point , order (exchange) , class (philosophy) , differential equation , type (biology) , mathematical analysis , computer science , physics , ecology , finance , quantum mechanics , machine learning , artificial intelligence , economics , biology
This manuscript is devoted to investigate a class of multi terms delay fractional order impulsive differential equations. Our investigation includes existence theory along with Ulam type stability. By using classical fixed point theorems, we establish sufficient conditions for existence and uniqueness of solution to the proposed problem. We develop some appropriate conditions for different kinds of Ulam-Hyers stability results by using tools of nonlinear functional analysis. We demonstrate our results by an example.