A STUDY OF COUPLED FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS IN THE TEMPERED (<em>K</em>, <em>φ</em>)-HILFER FRAMEWORK WITHIN BANACH SPACES

Abdelkader Moumen; Oualid Zentar; Mahrouz Tayeb; Mohamed Ziane; Hicham Saber; Tariq Alraqad; Etaf Saleh Alshawarbeh

doi:10.11948/20250319

2027 Volume 17 Issue 3

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Abdelkader Moumen, Oualid Zentar, Mahrouz Tayeb, Mohamed Ziane, Hicham Saber, Tariq Alraqad, Etaf Saleh Alshawarbeh. A STUDY OF COUPLED FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS IN THE TEMPERED (K, φ)-HILFER FRAMEWORK WITHIN BANACH SPACES[J]. Journal of Applied Analysis & Computation, 2027, 17(3): 1792-1812. doi: 10.11948/20250319

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Abdelkader Moumen, Oualid Zentar, Mahrouz Tayeb, Mohamed Ziane, Hicham Saber, Tariq Alraqad, Etaf Saleh Alshawarbeh. A STUDY OF COUPLED FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS IN THE TEMPERED (K, φ)-HILFER FRAMEWORK WITHIN BANACH SPACES[J]. Journal of Applied Analysis & Computation, 2027, 17(3): 1792-1812. doi: 10.11948/20250319

A STUDY OF COUPLED FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS IN THE TEMPERED (K, φ)-HILFER FRAMEWORK WITHIN BANACH SPACES

1.
Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia
2.
Department of Mathematics, University of Tiaret, Tiaret, Algeria and Laboratory of Research in Artificial Intelligence and Systems (LRAIS), University of Tiaret, Algeria

Author Bio: Email: oualid.zentar@univ-tiaret.dz(O. Zentar); Email: tayeb.mahrouz@univ-tiaret.dz(M. Tayeb); Email: mohamed.ziane@univ-tiaret.dz(M. Ziane); Email: hi.saber@uoh.edu.sa(H. Saber); Email: t.alraqad@uoh.edu.sa(T. Alraqad); Email: e.alshawarbeh@uoh.edu.sa(E. S. Alshawarbeh)
Corresponding author: Email: mo.abdelkader@uoh.edu.sa(A. Moumen)

Abstract

Abstract

This work investigates a class of nonlinear coupled fractional integrodifferential systems formulated in the tempered $ (k,\varphi) $-Hilfer framework. The analysis is conducted within an infinite-dimensional Banach space, where the nonlinear components are assumed to satisfy a blend of compactness and growth conditions. Employing the Mönch fixed-point theorem in conjunction with the measure of noncompactness, we establish an existence result that significantly generalizes and strengthens several existing results in the literature. To illustrate the applicability of the theoretical results, a representative example is provided in an infinite-dimensional Banach space setting.
- Tempered fractional calculus /
- integro-differential equations /
- boundary value problems /
- Mönch fixed point theorem /
- measure of noncompactness
MSC: 34A08, 34B15, 47H08

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