Analytic and Numeric Solution of Linear Partial Differential Equation of Fractional Order

Abstract

The existence and uniqueness solution of the Cauchy problem are discussed and proved in a Banach space E due to Bielecki method and Picard method depending on the properties we expect a solution to possess. Moreover, some properties concerning the stability of solution are obtained. The product Nyström method is used as a numerical method to obtain a linear system of algebraic equations. Also, many important theorems related to the existence and uniqueness solution of the algebraic system are derived. Finally, an application is given and numerical results are obtained.

A Study of Conflict Issues Affecting Ugandan Housemaids who Migrate to Saudi Arabia and How to Mitigate them

March 10, 2026

This study aims to comprehensively analyse the complex interplay between