Geodesic
Uniqueness and Hyers–Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition
Canadian journal of mathematics, Tome 77 (2025) no. 4, pp. 1377-1397

Voir la notice de l'article provenant de la source Cambridge

DOI

Introducing a pair-parameter matrix Mittag–Leffler function, we study the uniqueness and Hyers–Ulam stability to a new fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition using Banach’s contractive principle as well as Babenko’s approach in a Banach space. These investigations have serious applications since uniqueness and stability analysis are essential topics in various research fields. The techniques used also work for different types of differential equations with initial or boundary conditions, as well as integral equations. Moreover, we present a Python code to compute approximate values of our newly established pair-parameter matrix Mittag–Leffler functions, which extend the multivariate Mittag–Leffler function. A few examples are given to show applications of the key results obtained.
DOI : 10.4153/S0008414X24000348
Mots-clés : Fractional nonlinear partial integro-differential equation, Hyers–Ulam stability, Banach’s contractive principle, pair-parameter Mittag–Leffler function, Babenko’s approach 
Li, Chenkuan. Uniqueness and Hyers–Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition. Canadian journal of mathematics, Tome 77 (2025) no. 4, pp. 1377-1397. doi: 10.4153/S0008414X24000348
@article{10_4153_S0008414X24000348,
     author = {Li, Chenkuan},
     title = {Uniqueness and {Hyers{\textendash}Ulam{\textquoteright}s} stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition},
     journal = {Canadian journal of mathematics},
     pages = {1377--1397},
     year = {2025},
     volume = {77},
     number = {4},
     doi = {10.4153/S0008414X24000348},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000348/}
}
TY  - JOUR
AU  - Li, Chenkuan
TI  - Uniqueness and Hyers–Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition
JO  - Canadian journal of mathematics
PY  - 2025
SP  - 1377
EP  - 1397
VL  - 77
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000348/
DO  - 10.4153/S0008414X24000348
ID  - 10_4153_S0008414X24000348
ER  - 
%0 Journal Article
%A Li, Chenkuan
%T Uniqueness and Hyers–Ulam’s stability for a fractional nonlinear partial integro-differential equation with variable coefficients and a mixed boundary condition
%J Canadian journal of mathematics
%D 2025
%P 1377-1397
%V 77
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000348/
%R 10.4153/S0008414X24000348
%F 10_4153_S0008414X24000348

Cité par Sources :