Results 31 to 40 of about 1,565,786 (254)

Generalized Isoperimetric FVPs Via Caputo Approach

Acta Mathematica, 2019
Summary: In this paper, we study several fractional variational problems with functionals that contain \(n\) unknown functions with their higher order Caputo derivatives and Riemann-Liouville integrals. We prove generalized fractional Euler-Lagrange equations.
Taïeb, Amele, Dahmani, Zoubir
openaire   +3 more sources

Exact results for a fractional derivative of elementary functions

SciPost Physics, 2018
We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and inverse hyperbolic, Gaussian, quartic Gaussian, and Lorentzian ...
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina, Lincoln D. Carr
doaj   +1 more source

Quadratic Lyapunov Functions for Stability of the Generalized Proportional Fractional Differential Equations with Applications to Neural Networks

Axioms, 2021
A fractional model of the Hopfield neural network is considered in the case of the application of the generalized proportional Caputo fractional derivative. The stability analysis of this model is used to show the reliability of the processed information.
Ricardo Almeida, Ravi P. Agarwal, Snezhana Hristova, Donal O’Regan   +3 more
doaj   +1 more source

On applications of Caputo k-fractional derivatives

Advances in Difference Equations, 2019
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid, Naveed Latif, Matloob Anwar, Ali Imran, Muhammad Ozair, Madeeha Nawaz   +5 more
doaj   +1 more source

Generalized Proportional Caputo Fractional Differential Equations with Delay and Practical Stability by the Razumikhin Method

Mathematics, 2022
Practical stability properties of generalized proportional Caputo fractional differential equations with bounded delay are studied in this paper. Two types of stability, practical stability and exponential practical stability, are defined and considered,
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source

Novel analysis of nonlinear dynamics of a fractional model for tuberculosis disease via the generalized Caputo fractional derivative operator (case study of Nigeria)

AIMS Mathematics, 2022
We propose a new mathematical framework of generalized fractional-order to investigate the tuberculosis model with treatment. Under the generalized Caputo fractional derivative notion, the system comprises a network of five nonlinear differential ...
S. Rashid, Yolanda Guerrero Sánchez, Jagdev Singh, K. M. Abualnaja   +3 more
semanticscholar   +1 more source

Generalized Mittag-Leffler Input Stability of the Fractional-Order Electrical Circuits

IEEE Open Journal of Circuits and Systems, 2020
This article addresses new applications of the generalized Mittag-Leffler input stability to the fractional-order electrical circuits. We consider the fractional-order electrical circuits in the context of the generalized Caputo-Liouville derivative.
Ndolane Sene
doaj   +1 more source

Generalized Fractional Nonlinear Birth Processes [PDF]

, 2015
We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa, Davood Rostamy, Mohsen Alipour   +2 more
core   +1 more source

GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE

Journal of Applied Analysis & Computation, 2016
Summary: In this paper, the fuzzy Basset equation is introduced. This problem is related to the motion of a sphere in a viscous liquid when its parameters are fuzzy numbers. We investigate the existence and uniqueness of solution with converting the problem to a system of fuzzy fractional differential equation, and the solution is also obtained under ...
Armand, A., Allahviranloo, T., Gouyandeh, Z.   +2 more
openaire   +1 more source

Numerical Approaches of the Generalized Time-Fractional Burgers’ Equation with Time-Variable Coefficients

Journal of Function Spaces, 2021
The generalized time-fractional, one-dimensional, nonlinear Burgers equation with time-variable coefficients is numerically investigated. The classical Burgers equation is generalized by considering the generalized Atangana-Baleanu time-fractional ...
Dumitru Vieru, Constantin Fetecau, Nehad Ali Shah, Jae Dong Chung   +3 more
doaj   +1 more source