Nonlinear system of fractional dynamic equations involving initial and boundary conditions
Nonlinear system of fractional dynamic equations
Résumé
This paper presents a comprehensive investigation into the existence and uniqueness of solutions
for nonlinear fractional dynamic equations defined on time scales. Both initial and boundary value problems
are considered, and the solvability of the equations is examined through the application of fixed point theory.
The theoretical framework is developed using fundamental concepts, lemmas, and propositions associated with
Riemann–Liouville and Caputo-type fractional derivatives. To illustrate the validity and applicability of the
established results, two representative examples are provided.
Téléchargements
Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática
Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
