@Article{ATA-41-172,
author = {Li , ChenkuanLiao , Wenyuan and Saadati , Reza},
title = {An Inverse Operator Approach to a Fractional Nonlinear Integro-Differential Equation},
journal = {Analysis in Theory and Applications},
year = {2025},
volume = {41},
number = {2},
pages = {172--196},
abstract = {<p style="text-align: justify;">This paper studies the existence, uniqueness and stability for a new fractional nonlinear integro-differential equation with an integral boundary condition using several well-known fixed point theorems in a Banach space. The method used is to
convert the equation into an equivalent implicit integral equation based on a bounded
inverse operator which is an infinite series and uniformly convergent. Furthermore,
we compute approximate values of a few multivariate Mittag-Leffler functions by our
Python codes in illustrative examples demonstrating the use of key theorems derived.
These investigations have a wide range of applications as existence, uniqueness and
stability often appear in various pure and applied research areas.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2024-0043},
url = {http://global-sci.org/intro/article_detail/ata/24281.html}
}