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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 ...
Linear fractional differential equations and eigenfunctions of fractional differential operators
(2018-05-01)
Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the ...
Boundedness of the solutions for certain classes of fractional differential equations with application to adaptive systems
(Elsevier, 2016)
This paper presents the analysis of three classes of fractional differential equations appearing in the field of fractional adaptive systems, for the case when the fractional order is in the interval alpha is an element ...
Riccati differential equation with continued fractions
(Wolfram Demonstration Project, 2011)
Riccati differential equation with continued fractions
(Wolfram Demonstration Project, 2016)
Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Fractional calculus for differential equationsCálculo fraccionario para ecuaciones diferenciales
(USFQ PRESS, departamento editorial de la Universidad San Francisco de Quito USFQ, 2021)
The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation
(Taylor & Francis Ltd, 2016-05)
In this paper we study an n-dimensional generalization of time-fractional diffusion-wave equation, where the Laplacian operator is replaced by the ultra-hyperbolic operator and the time-fractional derivative is taken in ...
(ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations
(University of Szeged, 2018)
© 2018, University of Szeged. All rights reserved. In this paper we study a new class of functions, which we call (ω, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. ...
(ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations
(Univ Szeged, 2018)
In this paper we study a new class of functions, which we call (omega, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. We prove that the set conformed by these functions ...