Fractional calculus in beam deflection: Analyzing nonlinear systems with Caputo and conformable derivatives
Abdelkader Lamamri,
Iqbal Jebril,
Zoubir Dahmani
et al.
Abstract:<p>In this paper, our study is divided into two parts. The first part involves analyzing a coupled system of beam deflection type that involves nonlinear equations with sequential Caputo derivatives. The also system incorporates the Caputo derivatives in the initial conditions, which adds a layer of complexity and realism to the problem. We focus on proving the existence of a unique solution for this system, and highlighting the robustness and applicability of fractional derivatives in modeling complex p… Show more
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