Existence and approximate solution for the fractional volterra fredholm integro-differential equation involving ζ-hilfer fractional derivative

AT Alabdala, SS Redhwan… - … Functional Analysis and …, 2023 - nfaa.kyungnam.ac.kr
In this paper, we are motivated to evaluate and investigate the necessary conditions for the
fractional Volterra Fredholm integro-differential equation involving the ζ-Hilfer fractional …

Employing the Sadik Residual Power Series Method to Analyze a System of Nonlinear Caputo Time-Fractional Partial Differential Equations

P Pue-on - European Journal of Pure and Applied Mathematics, 2024 - ejpam.com
The present study proposes an approximate analytical solution to a nonlinear system of time-
fractional partial differential equations. The Sadik residual power series method, which …

TAYLORS SERIES IN TERMS OF THE MODIFIED CONFORMABLE FRACTIONAL DERIVATIVE WITH APPLICATIONS

MBM Altalla, B Shanmukha, A El-Ajou… - Nonlinear Functional …, 2024 - nfaa.kyungnam.ac.kr
This study depends on the modified conformable fractional derivative definition to generalize
and proves some theorems of the classical power series into the fractional power series …