Abstract
In this research article, we develop a qualitative analysis to a class of nonlinear coupled system of fractional delay differential equations (FDDEs). Under the integral boundary conditions, existence and uniqueness for the solution of this system are carried out. With the help of Leray–Schauder and Banach fixed point theorem, we establish indispensable results. Also, some results affiliated to Ulam–Hyers (UH) stability for the system under investigation are presented. To validate the results, illustrative examples are given at the end of the manuscript.
Highlights
Theoretical and applied aspects of fractional calculus can be found comprehensively in the literature
(2020) 2020:138 the drawing and scaling aspects of a device. Later on this device was more refined and scientists use it in electric trains [10, 11], material modeling [12], and in modeling lasers, especially quantum dot lasers [13]
Using results from fixed point theory, we study the qualitative aspects of a coupled system of fractional delay differential equations (FDDEs) under integral conditions given as follows:
Summary
Theoretical and applied aspects of fractional calculus can be found comprehensively in the literature. Different aspects related to qualitative and numerical analysis corresponding to boundary and initial value problems of fractional order differential equations (FODEs) have been widely explored. The area of delay FODEs has many applications in mathematical modeling of real world problems and processes. Using results from fixed point theory, we study the qualitative aspects of a coupled system of FDDEs under integral conditions given as follows:
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