On nonlinear pantograph fractional differential equations with Atangana–Baleanu–Caputo derivative

On nonlinear pantograph fractional differential equations with Atangana–Baleanu–Caputo derivative

Abstract In this paper, we obtain sufficient conditions for the existence and uniqueness results of the pantograph fractional differential equations (FDEs) with nonlocal conditions involving Atangana–Baleanu–Caputo (ABC) derivative operator with fractional orders. Our approach is based on the reduct...

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Bibliographic Details
Main Authors: Mohammed S. Abdo, Thabet Abdeljawad, Kishor D. Kucche, Manar A. Alqudah, Saeed M. Ali, Mdi Begum Jeelani
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
ABC-Caputo pantograph fractional differential equation
Nonlocal conditions
Fixed point theorem
Generalized Gronwall inequality
Online Access:https://doi.org/10.1186/s13662-021-03229-8

Internet

https://doi.org/10.1186/s13662-021-03229-8

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