Qualitative study of a new class of coupled pantograph differential equations involving the psi-Hilfer fractional derivative with multi-point boundary conditions
1Sultan Moulay Slimane University, Faculty of Sciences and Technics, Beni Mellal, Morocco
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 4, pp. 335-350
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Karim Guida; Lahcen Ibnelazyz; Khalid Hilal; Mohamed Oukessou; Karim Guida; Lahcen Ibnelazyz; Khalid Hilal; Mohamed Oukessou. Qualitative study of a new class of coupled pantograph differential equations involving the psi-Hilfer fractional derivative with multi-point boundary conditions. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 4, pp. 335-350. http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a4/
@article{AMUC_2022_91_4_a4,
author = {Karim Guida and Lahcen Ibnelazyz and Khalid Hilal and Mohamed Oukessou and Karim Guida and Lahcen Ibnelazyz and Khalid Hilal and Mohamed Oukessou},
title = { Qualitative study of a new class of coupled pantograph differential equations involving the {psi-Hilfer} fractional derivative with multi-point boundary conditions},
journal = {Acta mathematica Universitatis Comenianae},
pages = {335--350},
year = {2022},
volume = {91},
number = {4},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a4/}
}
TY - JOUR
AU - Karim Guida
AU - Lahcen Ibnelazyz
AU - Khalid Hilal
AU - Mohamed Oukessou
AU - Karim Guida
AU - Lahcen Ibnelazyz
AU - Khalid Hilal
AU - Mohamed Oukessou
TI - Qualitative study of a new class of coupled pantograph differential equations involving the psi-Hilfer fractional derivative with multi-point boundary conditions
JO - Acta mathematica Universitatis Comenianae
PY - 2022
SP - 335
EP - 350
VL - 91
IS - 4
UR - http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a4/
ID - AMUC_2022_91_4_a4
ER -
%0 Journal Article
%A Karim Guida
%A Lahcen Ibnelazyz
%A Khalid Hilal
%A Mohamed Oukessou
%A Karim Guida
%A Lahcen Ibnelazyz
%A Khalid Hilal
%A Mohamed Oukessou
%T Qualitative study of a new class of coupled pantograph differential equations involving the psi-Hilfer fractional derivative with multi-point boundary conditions
%J Acta mathematica Universitatis Comenianae
%D 2022
%P 335-350
%V 91
%N 4
%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a4/
%F AMUC_2022_91_4_a4
In this paper, we study the existence and uniqueness of solutions of a coupled system of $\psi$-Hilfer fractional pantograph differential equations with multi-point boundary conditions. The existence and uniqueness results are given by using the fixed point theorems, mainly, Banach's contraction principle and Krasnoselskii's fixed point theorem. Finally, two examples are provided to illustrate the results.
