Results 31 to 40 of about 58,917 (294)

A Nonlinear Implicit Fractional Equation with Caputo Derivative [PDF]

Journal of Mathematics, 2021
In this paper, we study a nonlinear implicit differential equation with initial conditions. The considered problem involves the fractional Caputo derivatives under some conditions on the order. We prove an existence and uniqueness analytic result by application of Banach principle.
openaire   +2 more sources

Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel [PDF]

Journal of Applied and Computational Mechanics, 2020
A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative ...
Huitzilín Yépez-Martínez, José Francisco Gómez-Aguilar   +1 more
doaj   +1 more source

On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative

Journal of Function Spaces, 2021
In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative.
Ali El mfadel, S. Melliani, M. Elomari
semanticscholar   +1 more source

Caputo-type modification of the Hadamard fractional derivatives [PDF]

Advances in Difference Equations, 2012
Abstract Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification of Hadamard fractional derivatives is introduced. The properties of the modified
Fahd Jarad, Thabet Abdeljawad, Dumitru Băleanu   +2 more
openaire   +3 more sources

Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]

, 2019
In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
core   +2 more sources

A delayed plant disease model with Caputo fractional derivatives [PDF]

Advances in Continuous and Discrete Models, 2022
AbstractWe analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the unique global solution existence for the given delay mathematical model by using fixed point results. We use the Adams–Bashforth–Moulton
Pushpendra Kumar, Dumitru Băleanu, Vedat Suat Ertürk, Mustafa İnç, V. Govindaraj   +4 more
openaire   +3 more sources

Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

Alexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla, Sadeq Taha Abdulazeez, Mahmut Modanli   +2 more
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

Fully distributed consensus of nonlinear fractional multi‐agent systems based on combined event‐triggered mechanism

Mathematical Methods in the Applied Sciences, EarlyView., 2022
This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley   +1 more source

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