Articles recommandés

[PDF] TIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E4 2

TA Aydin, R Ayazoglu, H Kocayigit

In this paper, we define timelike curves in R4 2 and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R4 2, taking into account their curvatures. In addition, we study timelike slant helices, timelike B1-slant helices …

Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies

W Wu, Z Teng – Communications in Nonlinear Science and Numerical …, 2022

In this paper, we propose a non-autonomous reaction–diffusion SIR infectious disease model with nonlinear incidence, taking fully into account the effects of periodic environmental factors as well as population dynamics on disease …

[HTML] Fractional crossover delay differential equations of Mittag-Leffler kernel: existence, uniqueness, and numerical solutions using the Galerkin algorithm based on shifted …

H Sweis, N Shawagfeh, OA Arqub – Results in Physics, 2022

In the present work, we consider a class of fractional delay differential equations of order ρ with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional delay problem to Volterra integral equation and used them to …

[PDF] A Theoretical and Numerical Study on Fractional Order Biological Models with Caputo Fabrizio Derivative

A Althobaiti, MB Riaz, FS Al-Duais – Fractal and Fractional, 2022

This article studies a biological population model in the context of a fractional Caputo-Fabrizio operator using double Laplace transform combined with the Adomian method. The conditions for the existence and uniqueness of solution of the problem …

[HTML] Discussion on the existence of mild solution for fractional derivative by Mittag–Leffler kernel to fractional stochastic neutral differential inclusions

YK Ma, V Vijayakumar, A Shukla, KS Nisar… – Alexandria Engineering …, 2022

Fractional calculus is now used to accurately depict a range of real occurrences because it can explain the “long-tail memory” phenomena that have been seen through empirical research. Standard differential equations with integer order …


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 A high-precision numerical method to simulating the fractional-order EI Ni ñ o chaotic systems with Riemann–Liouville fractional derivative

KQ Zhang, XJ Cao, YL Wang – Journal of Low Frequency Noise, Vibration and Active …, 2022

Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ñ o chaotic systems. The numerical results indicate that some of …

Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space

A Das, B Hazarika, BC Deuri – Fractional Calculus and Applied Analysis, 2022

In this article, the existence of the solution of infinite system of fractional hybrid differential equations with initial conditions by reducing them to integral equations in the space C (I, m (θ) β) is discussed based on Darbo fixed point theorem. In the end …

Global stability of a rumor spreading model with discontinuous control strategies

H Zhu, X Zhang, Q An – Physica A: Statistical Mechanics and its Applications, 2022

With the rapid development of online media in recent years, rumors have also proliferated and spread. If they are not effectively managed, they will cause great harm to society. So, how to stop the spread of rumors has become a hot topic that …


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 CAPUTO-TYPE FRACTIONAL SYSTEMS WITH VARIABLE ORDER DEPENDING ON THE IMPULSES AND CHANGING THE KERNEL

T ABDELJAWAD, N MLAIKI, MS ABDO – Fractals, 2022

In this paper, we introduce a new class of fractional impulsive systems of functions with respect to another function in which the order of the fractional derivative and the kernel function is associated with the impulses. We derive the solution …


[PDF]
 Further Midpoint Inequalities via Generalized Fractional Operators in Riemann–Liouville Sense

AA Hyder, H Budak, AA Almoneef – Fractal and Fractional, 2022

In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals. Then, several …

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