Existence and uniqueness results for mixed derivative involving fractional operators-Reference-Cited by-同舟云学术

Existence and uniqueness results for mixed derivative involving fractional operators

Published:2023 Issue:3 Volume:8 Page:7377-7393
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Al Elaiw Abeer¹,Hafeez Farva²,Jeelani Mdi Begum³,Awadalla Muath¹,Abuasbeh Kinda¹

Affiliation:

1. Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf, Al Ahsa 31982, Saudi Arabia

2. Department of Mathematics and Statistics, University of Lahore, Sargodha, Pakistan

3. Department of Mathematics, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia

Abstract

<abstract><p>In this article, we discuss the existence and uniqueness results for mix derivative involving fractional operators of order $ \beta\in (1, 2) $ and $ \gamma\in (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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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