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- Title
QUALITATIVE STUDY OF NONLINEAR COUPLED PANTOGRAPH DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER.
- Authors
AHAMAD, ISRAR; SHAH, KAMAL; ABDELJAWAD, THABET; JARAD, FAHD
- Abstract
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.
- Subjects
PANTOGRAPH; QUALITATIVE research; NONLINEAR analysis; STABILITY theory; NONLINEAR systems
- Publication
Fractals, 2020, Vol 28, Issue 8, pN.PAG
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X20400459