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Existence and uniqueness results for mixed derivative involving fractional operators
Journal article   Peer reviewed

Existence and uniqueness results for mixed derivative involving fractional operators

Abeer Al Elaiw, Farva Hafeez, Mdi Begum Jeelani, Muath Awadalla and Kinda Abuasbeh
AIMS mathematics, Vol.8(3), pp.7377-7393
01/01/2023
DOI: https://doi.org/10.3934/math.2023371

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we discuss the existence and uniqueness results for mix derivative involving fractional operators of order beta is an element of (1, 2) and gamma is an element of (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.

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