A coupled system of nonlinear Caputo–Hadamard Langevin equations associated with nonperiodic boundary conditions

In this paper, we study the coupled system of nonlinear Langevin equations involving Caputo–Hadamard fractional derivative and subject to nonperiodic boundary conditions. The existence, uniqueness, and stability in the sense of Ulam are established for the proposed system. Our approach is based on t...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 3; pp. 2650 - 2670
Main Authors Matar, Mohammed M., Alzabut, Jehad, Jonnalagadda, Jagan Mohan
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.02.2021
Subjects
Boundary conditions
Caputo–Hadamard fractional derivative
coupled system of Langevin equations
existence and uniqueness theorems
Fixed points (mathematics)
Mathematical analysis
Nonlinear equations
nonperiodic boundary conditions
Stability
Ulam–Hyers stability
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Summary:In this paper, we study the coupled system of nonlinear Langevin equations involving Caputo–Hadamard fractional derivative and subject to nonperiodic boundary conditions. The existence, uniqueness, and stability in the sense of Ulam are established for the proposed system. Our approach is based on the features of the Hadamard fractional derivative, the implementation of fixed point theorems, and the employment of Urs's stability approach. An example is introduced to facilitate the understanding of the theoretical findings.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6711