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math.AP2023
Fractional tempered variational calculus
César E. Torres Ledesma, Gastao F. Frederico, Manuel M. Bonilla +1
In this paper, we derive sufficient conditions ensuring the existence of a weak solution for a tempered fractional Euler-Lagrange equations $$ \frac{\partial L}{\partial x}(u,{…
math.OC2023★ 5 cited
Existence, uniqueness and controllability for Hilfer differential equations on times scales
J. Vanterler da C. Sousa, D. S. Oliveira, Gastao S. F. Frederico +1
We introduce a new version of -Hilfer fractional derivative, on an arbitrary time scale. The fundamental properties of the new operator are investigated and, in particular, we p…