Fractional conformable derivatives of Liouville–Caputo type with low-fractionality
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.03.018
Abstract: Abstract This paper presents a novel fractional conformable derivative of Liouville–Caputo type of fractional order α = n − ϵ that contains a small ϵ and positive integer n values between [1;2]. The method is… read more here.
Keywords: liouville caputo; caputo type; conformable derivative; fractional conformable ... See more keywords
Electrical circuits RC and RL involving fractional operators with bi-order
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mechanical Engineering"
DOI: 10.1177/1687814017707132
Abstract: This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α ,… read more here.
Keywords: involving fractional; liouville caputo; circuits involving; operators order ... See more keywords
EQUIVALENCE OF INITIALIZED RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/20190317
Abstract: Initialization of fractional differential equations remains an ongoing problem. The initialization function approach and the infinite state approach provide two effective ways of dealing with this issue. The purpose of this paper is to prove… read more here.
Keywords: riemann liouville; initialized riemann; liouville caputo; equivalence initialized ... See more keywords
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2019-0299
Abstract: Abstract In this paper, we examine a coupled system of fractional integrodifferential equations of Liouville-Caputo form with nonlinearities depending on the unknown functions, as well as their lower-order fractional derivatives and integrals supplemented with coupled… read more here.
Keywords: integrodifferential equations; liouville caputo; erd lyi; lyi kober ... See more keywords
On the Generalized Liouville-Caputo Type Fractional Differential Equations Supplemented with Katugampola Integral Boundary Conditions
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14112273
Abstract: In this study, we examine the existence and Hyers–Ulam stability of a coupled system of generalized Liouville–Caputo fractional order differential equations with integral boundary conditions and a connection to Katugampola integrals. In the first and… read more here.
Keywords: integral boundary; generalized liouville; liouville caputo; boundary conditions ... See more keywords
Existence and Ulam-Hyers Stability Results for a System of Coupled Generalized Liouville-Caputo Fractional Langevin Equations with Multipoint Boundary Conditions
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15010198
Abstract: We study the existence and uniqueness of solutions for coupled Langevin differential equations of fractional order with multipoint boundary conditions involving generalized Liouville–Caputo fractional derivatives. Furthermore, we discuss Ulam–Hyers stability in the context of the… read more here.
Keywords: generalized liouville; liouville caputo; boundary conditions; caputo fractional ... See more keywords
On a System of Coupled Langevin Equations in the Frame of Generalized Liouville-Caputo Fractional Derivatives
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15010204
Abstract: We investigate the existence and uniqueness results for coupled Langevin differential equations of fractional order with Katugampola integral boundary conditions involving generalized Liouville–Caputo fractional derivatives. Furthermore, we discuss Ulam–Hyers stability in the context of the… read more here.
Keywords: coupled langevin; generalized liouville; fractional derivatives; liouville caputo ... See more keywords
A Study of Positivity Analysis for Difference Operators in the Liouville-Caputo Setting
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020391
Abstract: The class of symmetric function interacts extensively with other types of functions. One of these is the class of positivity of functions, which is closely related to the theory of symmetry. Here, we propose a… read more here.
Keywords: positivity; analysis; liouville caputo; monotonicity results ... See more keywords