Open AccessQUALITATIVE STUDY OF NONLINEAR COUPLED PANTOGRAPH DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
Author(s) -
Israr Ahamad,
Kamal Shah,
Thabet Abdeljawad,
Fahd Jarad
Publication year - 2020
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x20400459
Subject(s) - pantograph , uniqueness , nonlinear system , mathematics , stability (learning theory) , fixed point theorem , differential equation , mathematical analysis , order (exchange) , fractional calculus , computer science , physics , mechanical engineering , finance , quantum mechanics , machine learning , engineering , economics
In this paper, we investigate a nonlinear coupled system of fractional pantograph differential equations (FPDEs). The respective results address some adequate results for existence and uniqueness of solution to the problem under consideration. In light of fixed point theorems like Banach and Krasnoselskii’s, we establish the required results. Considering the tools of nonlinear analysis, we develop some results regarding Ulam–Hyers (UH) stability. We give three pertinent examples to demonstrate our main work.