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An Euler-Lagrange Equation only Depending on Derivatives of Caputo for Fractional Variational Problems with Classical Derivatives
(International Academic Press, 2020-05-18)
In this paper we present advances in fractional variational problems with a Lagrangian depending on Caputo fractional and classical derivatives. New formulations of the fractional Euler-Lagrange equation are shown for the ...
Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator
(Natural Sciences Publishing, 2016-04)
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is ...
Analysis of Equivalent Circuits for Cells: A Fractional Calculus Approach
(Facultad de Ingeniería, 2012)
Harvest Management Problem with a Fractional Logistic Equation
(Akadémiai Kiadó, 2021-10)
In this article, we study a fractional control problem that models the maximization of the profit obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the ...
Fractional convexity
(Springer, 2021-08-17)
We introduce a notion of fractional convexity that extends naturally the usual notion of convexity in the Euclidean space to a fractional setting. With this notion of fractional convexity, we study the fractional convex ...
Linear differential equations of fractional order with recurrence relationship
(Natural Sciences Publishing, 2021-01)
This paper introduce the basic general theory for Linear Sequential Fractional Differential Equations which includes a recurrence relationship, involving the Riemann-Liouville fractional operator. The presented equation ...
Existence and decay rates for a semilinear dissipative fractional second order evolution equation
(Universidade Federal de Santa Maria, 2020)
A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
(Springer, 2022-05)
This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators ...
A characterization of strongly stable fractional matchings
(Springer, 2019-07)
In this paper, we characterize the strongly stable fractional matchings for the marriage model as the union of the convex hull of connected sets of stable matchings. Moreover, we present an algorithm that computes the set ...
Continuity results with respect to domain perturbation for the fractional p-Laplacian
(Pergamon-Elsevier Science Ltd, 2018-01)
In this paper, we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional p-Laplacian. These conditions are given in terms of the fractional capacity of the ...