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math.OC2022★ 3 cited
Weighted Generalized Fractional Integration by Parts and the Euler-Lagrange Equation
Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres +1
Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control. Mot…
math.DS2022★ 12 cited
Lyapunov Functions and Stability Analysis of Fractional-Order Systems
Adnane Boukhouima, Houssine Zine, El Mehdi Lotfi +3
This study presents new estimates for fractional derivatives without singular kernels defined by some specific functions. Based on obtained inequalities, we give a useful method to…