On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel by Zelin Liu, Xiaobin Yu, Yajun Yin

“…To address these challenges, we have developed a universal framework for defining the fractional calculus operators using the generalized fractional calculus with the Sonine kernel. …”
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Effect of Structural Parameter on Stiffness of Parallel Two-axis Straight Circular Flexible Hinge by Li Cheng, He Tao, Chen Guoyu, Wang Chuanli, Jiang Hao, Ji Chenguang

“…In order to deeply analyze the micro-displacement deformation performance of parallel two-axis straight circular flexure hinge，based on the assumption of small deformation of elastic beam，the bending theory of variable cross-section continuous beam and the principle of calculus superposition，the calculating formulas of angular deformation and angular stiffness are derived. …”
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Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models. by Yazen M Alawaideh, Bashar M Al-Khamiseh, Isaac Kwasi Adu

“…This research offers new insights into expanding classical field theory using fractional calculus, opening new avenues for understanding interactions in electrodynamic systems. …”
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