Results 81 to 90 of about 286 (182)

Fractional Linear Systems With Nonsingular Kernel: Explicit Solutions and Ulam–Hyers Stability

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is devoted to the explicit representation of solutions for a class of differential equations involving the Caputo–Fabrizio fractional derivative with a nonsingular kernel. Motivated by the lack of explicit representation formulas for Caputo–Fabrizio fractional systems in the existing literature, two distinct approaches based on Laplace ...
Mustafa Aydin, Smritijit Sen
wiley   +1 more source

The general solution of impulsive systems with Riemann-Liouville fractional derivatives

Open Mathematics, 2016
In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero).
Zhang Xianmin, Ding Wenbin, Peng Hui, Liu Zuohua, Shu Tong   +4 more
doaj   +1 more source

On implicit φ-Hilfer fractional differential equations with the p-Laplacian operator [PDF]

In this paper, we establish the existence and uniqueness of solutions for a new class of nonlocal boundary implicit φ-Hilfer fractional differential equations involving the p-Laplacian operator.
BENHADDA, Walid, EL MFADEL, Ali, KASSIDI, Abderrazak, ELOMARI, M’hamed   +3 more
core   +1 more source

Generalized (ψ,φ)-contraction to investigate Volterra integral inclusions and fractal fractional PDEs in super-metric space with numerical experiments

Nonlinear Engineering
This article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam, Sarwar Muhammad, Hleili Manel, Samei Mohammad Esmael, Abdeljawad Thabet   +4 more
doaj   +1 more source

An investigation of fractional Bagley-Torvik equation

Open Mathematics, 2019
In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
doaj   +1 more source

Analysis and numerical simulation of fractional-order blood alcohol model with singular and non-singular kernels

Computational and Mathematical Biophysics
In this manuscript, we examine the blood alcohol model to investigate the dynamics of alcohol concentration in the human body. The classical model of blood alcohol concentration is converted into the fractional model by using Caputo, Caputo-Fabrizio (CF),
Prakash Amit, Kalyan Neha, Ahuja Sanjeev
doaj   +1 more source

Three-Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative

, 2020
We discuss the existence and uniqueness of solutions for the Langevin fractional differential equation and its inclusion counterpart involving the Hilfer fractional derivatives, supplemented with three-point boundary conditions by means of standard tools
Jessada Tariboon, Bashir Ahmad, Sotiris K. Ntouyas, Athasit Wongcharoen   +3 more
core   +1 more source

New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients [PDF]

, 2018
In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
Zead Mustafa, H.M. Jaradat, Mustafa Z., S. Momani, Syam M., Momani S., Jaradat H.M., Jaradat M., M. Jaradat, Muhammed Syam   +9 more
core   +1 more source

Chaos synchronization of fractional–order discrete–time systems with different dimensions using two scaling matrices

Open Physics, 2019
In this paper, we study the synchronization of fractional–order discrete–time chaotic systems by means of two scaling matrices Θ and Φ. The considered synchronization scheme can be tailored to encompass several types of classical synchronization types ...
Ouannas Adel, Bendoukha Samir, Khennaoui Amina–Aicha, Grassi Giuseppe, Wang Xiong, Pham Viet-Thanh   +5 more
doaj   +1 more source

Monotone iterative technique for a sequential δ-Caputo fractional differential equations with nonlinear boundary conditions [PDF]

In this article, we discuss the existence of extremal solutions for a class of nonlinear sequential δ–Caputo fractional differential equations involving nonlinear boundary conditions. Our results are founded on advanced functional analysis methods. To be
BENCHOHRA, Mouffak, BAITICHE, Zidane, DERBAZI, Choukri, SALIM, Abdelkrim   +3 more
core   +1 more source