On a class of boundary value problems under ABC fractional derivative

On a class of boundary value problems under ABC fractional derivative

Abstract In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana–Baleanu–Caputo (ABC) fractional derivative. Making use of Krasnoselskii and Banach theorems, we...

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Bibliographic Details
Main Authors: Rozi Gul, Kamal Shah, Zareen A. Khan, Fahd Jarad
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:Advances in Difference Equations
Subjects:
ABC fractional order derivative
HFDEs
Krasnoselskii and Banach theorems
Stability
Online Access:https://doi.org/10.1186/s13662-021-03595-3
Description
Summary:Abstract In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana–Baleanu–Caputo (ABC) fractional derivative. Making use of Krasnoselskii and Banach theorems, we obtain the required conditions. Some appropriate results of Hyers–Ulam (H–U) stability corresponding to the considered problem are also established. Also a pertinent example is given to demonstrate the results.
ISSN:1687-1847

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