A Semi-Analytical and Topological Study of Fractional Dynamical Systems in Banach Spaces Endowed with the Compact-Open Topology: Applications to Wave Propagation Phenomena

Fractal and Fractional 2026 Open access

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Authors: Hasan Nihal Zaidi, Amin Saif, Muntasir Suhail, Neama Haron, Amira S. Awaad, Khaled Aldwoah, Ali H. Tedjani
DOI: 10.3390/fractalfract10030181
Cited by: 4
References: 29

Abstract

This paper develops a functional operator-theoretic framework for nonlinear Erdelyi–Kober (EK) fractional dynamical systems formulated in Banach spaces endowed with the compact-open topology. Within this setting, sufficient conditions for existence, uniqueness, and Ulam–Hyers stability of solutions are established using the Banach and Schaefer fixed-point theorems. The continuity, boundedness, and Lipschitz properties of the associated nonlinear operators are analyzed to ensure well-posedness of the fractional system. As a constructive complement to the theoretical results, a power series iterative method (PSIM) is employed to obtain an explicit fractional series representation of the solution in the case 0

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions Fixed Point Theorems Analysis

Publication details

Journal / source
Fractal and Fractional
Publisher
MDPI AG
Volume
10
Issue
3
Pages
181–181
Publication date
11 March 2026
Language
EN