Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation

Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation

In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.

Bibliographic Details
Main Authors: D. Vivek, Kamal Shah, K. Kanagarajan
Format: Article
Language:English
Published: Taylor & Francis Group 2019-12-01
Series:Journal of Taibah University for Science
Subjects:
nonlinear pantograph equation
hilfer–hadamard fractional derivative
existence
fixed point
successive approximation
Online Access:http://dx.doi.org/10.1080/16583655.2018.1558613

Internet

http://dx.doi.org/10.1080/16583655.2018.1558613

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