EXISTENCE RESULTS FOR SYSTEM OF GENERALIZED HYBRID PANTOGRAPH EQUATIONS OF SEQUENTIAL TYPE

Hussien Albala; Hammou Benmehidi; Mohamed Houas; Mahrouz Tayeb; Zoubir Dahmani; Abdelkader Moumen; Hicham Saber

doi:10.11948/20250303

2026 Volume 16 Issue 4

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Hussien Albala, Hammou Benmehidi, Mohamed Houas, Mahrouz Tayeb, Zoubir Dahmani, Abdelkader Moumen, Hicham Saber. EXISTENCE RESULTS FOR SYSTEM OF GENERALIZED HYBRID PANTOGRAPH EQUATIONS OF SEQUENTIAL TYPE[J]. Journal of Applied Analysis & Computation, 2026, 16(4): 2034-2049. doi: 10.11948/20250303

Citation:

Hussien Albala, Hammou Benmehidi, Mohamed Houas, Mahrouz Tayeb, Zoubir Dahmani, Abdelkader Moumen, Hicham Saber. EXISTENCE RESULTS FOR SYSTEM OF GENERALIZED HYBRID PANTOGRAPH EQUATIONS OF SEQUENTIAL TYPE[J]. Journal of Applied Analysis & Computation, 2026, 16(4): 2034-2049. doi: 10.11948/20250303

EXISTENCE RESULTS FOR SYSTEM OF GENERALIZED HYBRID PANTOGRAPH EQUATIONS OF SEQUENTIAL TYPE

1.
Department of Computer Science, College of Sciences & Arts, Tanomah, King Khalid University, Abha 62529, Saudi Arabia
2.
Faculty of Nature and Life Sciences, Department of Biology, Ibn Khaldoun University, P.O. BOX 78, Tiaret 14000, Algeria
3.
Laboratory of Pure and Applied Mathematics, University of Mostaganem, B.P. 227, Mostaganem 27000, Algeria
4.
FIMA Laboratory, Djilali Bounaama University, Khemis Miliana 44225, Algeria
5.
Department of Computer Science, Laboratory of Research in Artificial Intelligence and Systems (LRAIS), University of Ibn Khaldoun, Tiaret 14000, Algeria
6.
LAMDA-RO Laboratory, Faculty of Science, Department of Mathematics, Saad Dahlab Blida 1 University, P.O. Box 270, Blida 09000, Algeria
7.
Department of Mathematics, College of Science, University of Ha'il, 55473 Ha'il, Saudi Arabia

Author Bio: Email: hamahmad@kku.edu.sa(H. Albala); Email: hammou.benmehidi@univ-tiaret.dz(H. Benmehidi); Email: m.houas.st@univ-dbkm.dz(M. Houas); Email: tayeb.mahrouz@univ-tiaret.dz(T. Mahrouz); Email: zzdahmani@yahoo.fr(Z. Dahmani); Email: hi.saber@uoh.edu.sa(H. Saber)
Corresponding author: Email: mo.abdelkader@uoh.edu.sa(A. Moumen)

Abstract

Abstract

The aim of this work is to prove the existence and uniqueness of solutions for a coupled system that generalizes hybrid pantograph equations incorporating some fractional operators of Caputo and Riemann-Liouville types. This is achieved throughout Banach and Leray-Schauder fixed point theorems. In addition, we investigate the stability by using the Ulam-Hyer technique, and an illustrative example is provided to show the validity of our findings.
- Hybrid /
- equations of pantograph /
- stability /
- fractional operators
MSC: 34A08, 34A38

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