Results 71 to 80 of about 274 (176)

Analysis of Multi Term Fractional Differential Equations using Variational Iteration Method

, 2022
In this paper, we have obtained an approximate solution ofmulti-term Caputo fractional differential equations (MFDEs) using theVariational iteration method (VIM).
Vikas S. Jadhav; Department of Mathematics, Nowrosjee Wadia College Pune, Bhausaheb R. Sontakke; Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Amjad S. Shaikh; Department of Mathematics, AKI’s Poona College of Arts, Science and Commerce, Pune, Kottakkaran S. Nisar; Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991   +3 more
core  

Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami, Safoura Rezaei Aderyani, Reza Saadati, Mohammad Bagher Ghaemi, Cruz Vargas-De-León   +4 more
wiley   +1 more source

A Poster about the Old History of Fractional Calculus [PDF]

, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
J. T. MACHADO, V. KIRYAKOVA, Kiryakova, Virginia, Tenreiro Machado, J., Tenreiro Machado, J. A., Mainardi, Francesco   +5 more
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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

Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya, Hasan Gündüz, Mesut Karabacak, Ercan Çelik, Rigoberto Medina   +4 more
wiley   +1 more source

On singular φ−Laplacian BVPs of nonlinear fractional differential equation

This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions.
TEMAR, Bahia, DJEBALI, Smaïl, SAIFI, Ouiza   +2 more
core   +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

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

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani, Vasu Lakshmanan, Abdul Razak Kachu Mohideen, Homan Emadifar, Patricia J. Y. Wong   +4 more
wiley   +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