Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model

Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model

In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator. We also study the uniqueness and Hyers-Ulam stability (HU-stability) for the solutions of the pres...

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Bibliographic Details
Main Authors: Hasib Khan, Jehad Alzabut, Haseena Gulzar
Format: Article
Language:English
Published: Elsevier 2023-05-01
Series:Alexandria Engineering Journal
Subjects:
Modified ABC-operator
p-Laplacian operator
existence of solutions
unique solution
Hyers-Ulam-stability
numerical scheme
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016823001503
Description
Summary:In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator. We also study the uniqueness and Hyers-Ulam stability (HU-stability) for the solutions of the presumed mABC-FDEs system. For the recently developed mABC-operator, such a problem has not yet studied also our problem is more general than those in the available literature.
ISSN:1110-0168

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