Fractional Calculus had a remarkable evolution during recent decades, and paved the way towards the definition of variable order derivatives.
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Feb 12, 2020 · Abstract. Variable-order fractional operators were conceived and mathematically formalized only in recent years.
Several approaches to the formulation of a fractional theory of calculus of “variable order” have appeared in the literature over the years.
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This book is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators.
Nov 4, 2023 · General variable-order fractional scale derivatives are introduced and studied. Both the stretching and the shrinking cases are considered for definitions.
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Jul 12, 2024 · This paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives.
May 13, 2024 · A generalization of fractional linear viscoelasticity based on Scarpi's approach to variable-order fractional calculus is presented.
In this work, we study a general class of retarded linear systems with distributed delays and variable-order fractional derivatives of Caputo type.
Nov 30, 2023 · In this paper, the fractional optimal control problem for variable order differential system is considered. The considered fractional time ...
Fractional Calculus had a remarkable evolution during recent decades, and paved the way towards the definition of variable order derivatives.