Existence and uniqueness results for mixed derivative involving fractional operators

Existence and uniqueness results for mixed derivative involving fractional operators

In this article, we discuss the existence and uniqueness results for mix derivative involving fractional operators of order β∈(1,2) and γ∈(0,1). We prove some important results by using integro-differential equation of pantograph type. We establish the existence and uniqueness of the solutions using...

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Bibliographic Details
Main Authors: Abeer Al Elaiw, Farva Hafeez, Mdi Begum Jeelani, Muath Awadalla, Kinda Abuasbeh
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
fractional derivatives
existence conditions
integro-differential equations
pantograph equations
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023371?viewType=HTML
Description
Summary:In this article, we discuss the existence and uniqueness results for mix derivative involving fractional operators of order β∈(1,2) and γ∈(0,1). We prove some important results by using integro-differential equation of pantograph type. We establish the existence and uniqueness of the solutions using fixed point theorem. Furthermore, one application is likewise given to represent our fundamental results.
ISSN:2473-6988

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